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LIBRARY  OF 

ARCHITECTURE  AND 

ALLIED  ARTS 

Gift  of 
ALFRED  W.    RfiA 


DETAIL  OF  ROMAN  DORIC  ORDER. 

An  example  of  conventional  shadows  and  rendering-  in  wash.     Note  the  French 

Method  of  rendering  the  quarter  round  moulding  under  cornice,  and  the 

reflected  shadows.   See  Section  on  "Rendering  in  Wash"  Page  '257. 

Reproduced  by  permission  of  Columbia  University. 


Cyclopedia 

of 

Architecture,  Carpentry 
and  Building 


A    General   Reference     Work 

ON        ARCHITECTURE,        CARPENTRY,        BUILDING,         SUPERINTENDENCE, 

CONTRACTS,     SPECIFICATIONS,    BUILDING    LAW,     STAIR-BUILDING, 

ESTIMATING,    MASONRY,    REINFORCED     CONCRETE,    STEEL 

CONSTRUCTION,. ARCHITECTURAL  DRAWING,    SHEET 

METAL  WORK,  HEATING,  VENTILATING,  ETC. 


Prepared  by  a  Staff  of 

ARCHITECTS,    BUILDERS,    AND    EXPERTS    OF    THE    HIGHEST 
PROFESSIONAL    STANDING 


Illustrated  with  over  Three  Thousand  Engravings 


TEN    VOLUMES 


CHICAGO 

AMERICAN   TECHNICAL   SOCIETY 
1907 


COPYRIGHT,  1907 

BY 
AMERICAN   SCHOOL  OF   CORRESPONDENCE 

COPYRIGHT,  1907 

BY 

AMERICAN   TECHNICAL   SOCIETY 


Entered  at  Stationers'  Hall.  London 
All  Rights  Reserved. 


Urban 
WMO 

TH 


Authors  and  Collaborators 


JAMES  C.  PLANT 

Superintendent  of  Computing  Division.  Office  of   Supervising    Architect.    Treasury. 
Washington,  D.  C. 


WALTER  LORING  WEBB,  C.  E. 

Consulting  Civil  Engineer. 

Author  of  "Railroad  Construction,"  " Economics  of  Railroad  Construction."  etc. 


J.  R.  COOLIDGE,  JR.,  A.  M. 

Architect,  Boston. 

President,  Boston  Society  of  Architects. 

Acting  Director,  Museum  of  Fine  Arts,  Boston. 


H.  V.  VON  HOLST,  A.  B.,  S.  B. 

Architect,  Chicago. 

«r» 
FRED  T.  HODGSON 

Architect  and  Editor. 

Member  of  Ontario  Association  of  Architects. 

Author  of  "Modern  Carpentry,"  "Architectural  Drawing,  Self -Taught,"   "The  Steel 
Square,"  "Modern  Estimator,"  etc. 


ALFRED  E.  ZAPF,  S.  B. 

Secretary,  American  School  of  Correspondence. 

9" 

AUSTIN  T.  BYRNE 

Civil  Engineer. 

Author  of  "  Highway  Construction,"  "  Materials  and  Workmanship. 


HARRIS  C.  TROW,  S.  B. 

Editor  of  Text-book  Department,  American  School  of  Correspondence. 
American  Institute  of  Electrical  Engineers. 


WM.  H.  LAWRENCE,  S.  B. 

Associate  Professor  of  Architecture,  Massachusetts  Institute  of  Technology. 


Authors  and  Collaborators  —  Continued 


EDWARD  NICHOLS 

Architect,  Boston. 

*• 

H.  W.  GARDNER,  S.  B. 

Assistant  Professor  of  Architecture,  Massachusetts  Institute  of  Technology. 


ALFRED  E.  PHILLIPS,  C.  E.,  Ph.  D. 

Professor  of  Civil  Engineering,  Armour  Institute  of  Technology. 


GEORGE  C.  SHAAD,  E.  E. 

Assistant  Professor  of  Electrical  Engineering,  Massachusetts  Institute  of  Technology. 


MORRIS  WILLIAMS 

Writer  and  Expert  on  Carpentry  and  Building. 


HERBERT  E.  EVERETT 

Department  of  Architecture,  University  of  Pennsylvania. 


E.  L.  WALLACE,  B.  S. 

Instructor,  American  School  of  Correspondence. 
American  Institute  of  Electrical  Engineers. 


OTIS  W.  RICHARDSON,  LL.  B. 

Of  the  Boston  Bar. 

*• 

WM.  G.  SNOW,  S.  B. 

Steam  Heating  Specialist. 

Author  of  "  Furnace  Heating,"  Joint-Author  of  "  Ventilation  of  Buildings,' 

American  Society  of  Mechanical  Engineers. 


W.  HERBERT  GIBSON,  C.  E. 

Expert  on  Reinforced  Concrete. 

ELIOT  N.  JONES,  LL.  B. 

Of  the  Boston  Bar. 


Authors  and  Collaborators— Continued 


R.  T.  MILLER,  JR.,  A.  M.,  LL.  B. 

President,  American  School  of  Correspondence. 


WM.  NEUBECKER 

Instructor.  Sheet  Metal  Department  of  New  York  Trade  SchooL 


WM.  BEALL  GRAY 

Sanitary  Engineer. 

Member  of  National  Association  of  Master  Plumbers. 


EDWARD  MAURER,  B.  C.  E. 

Professor  of  Mechanics.  University  of  Wisconsin. 


EDWARD  A.  TUCKER,  S.  B. 

Architectural  Engineer. 

Member  of  American  Society  of  Civil  Engineers. 


EDWARD  B.  WAITE  V» 

Head  of  Instruction  Department,  American  School  of  Correspondence. 
American  Society  of  Mechanical  Engineers. 
Western  Society  of  Engineers. 


GEORGE  R.  METCALFE,  M.  E. 

Head  of  Technical  Publication  Department,  Westinghouse  Elec.  &  Mfg.  Co. 

Formerly  Technical  Editor,  Street  Railway  Review. 

Formerly  Editor  of  Text-book  Department,  American  School  of  Correspondence. 


HENRY  M.  HYDE  V 

Author  and  Editor  "The  Technical  World  Magazine.' 


CHAS.  L.  HUBBARD,  S.  B.,  M.  E.    "* 

Consulting  Engineer. 

With  S.  Homer  Woodbridge  Co.,  Heating,  Ventilating  and  Sanitary  Engineers. 


Authors  and  Collaborators— Continued 


FRANK  CHOUTEAU  BROWN 

Architect,  Boston. 

Author  of  "Letters  and  Lettering." 


DAVID  A.  GREGG 

Teacher  and  Lecturer  in  Pen  and  Ink  Rendering,  Massachusetts  Institute  of  Technology. 

V 

CHAS.  B.  BALL 

Civil  and  Sanitary  Engineer. 
American  Society  of  Civil  Engineers. 


ERVIN  KENISON,  S.  B. 

Instructor  in  Mechanical  Drawing,  Massachusetts  Institute  of  Technology. 


H.  C.  GUSHING,  JR. 

Consulting  Electrical  Engineer. 

Author  ot"  "Standard  Wiring  for  Electric  Light  and  Power." 


JOHN  H.  JALLINGS 

Mechanical  Engineer. 

^ 

FRANK  A.  BOURNE,  S.  M.,  A.  A.  I.  A. 

Architect,  Boston. 

Special  Librarian,  Department  of  Fine  Arts,  Public  Library,  Boston. 


ALFRED  S.  JOHNSON,  Ph.  D. 

Formerly  Editor  "The  Technical  World  Magazine." 


GILBERT  TOWNSEND,  S.  B. 

With  Post  &  McCord,  New  York  City. 


HENRY  C.  BUCK,  A.  B.,  A.  M. 

Instructor,  American  School  of  Correspondence. 
American  Institute  of  Electrical  Engineers. 


Authorities   Consulted 


THE   editors  have  freely  consulted  the  standard   technical  literature 
of  America  and  Europe  in  the  preparation  of  these  volumes.     They 
desire  to  express  their  indebtedness  particularly  to  the  following 
eminent  authorities  whose  well-known  works  should  be  in  the  library  of 
every  one  connected  with  building. 

Grateful  acknowledgment  is  here  made  also  for  the  invaluable  co- 
operation of  the  foremost  architects,  engineers,  and  builders  in  making 
these  volumes  thoroughly  representative  of  the  very  best  and  latest  prac- 
tice in  the  design  and  construction  of  buildings  ;  also  for  the  valuable 
drawings  and  data,  suggestions,  criticisms,  and  other  courtesies. 


J.  B.  JOHNSON,  C.  E. 

Formerly  Dean,  College  of  Mechanics  and  Engineering,  University  of  Wisconsin. 

Author  of  "Engineering  Contracts  and  Specifications,"  "Materials  of  Construction," 
Joint  Author  of  "Theory  and  Practice  in  the  Designing  of  Modern  Framed  Struc- 
tures. 


JOHN  CASSAN  WAIT,  M.  C.  E.,  LL.  B. 

Counsellor-at-Law  and  Consulting  Engineer ;    Formerly  Assistant    Professor  of    En- 
gineering at  Harvard  University. 
Author  of  "Engineering  and  Architectural  Jurisprudence." 


T.  M.  CLARK 

Fellow  of  of  the  American  Institute  of  Architects. 

Author  of  "Building  Superintendence,"   "Architect,   Builder  and  Owner  before  the 
•  Law." 


FRANK  E.  KIDDER,  C.  E.,  Ph.  D. 

Consulting  Architect  and  Structural    Engineer;  Fellow  of  the  American  Institute  of 

Architects. 
Author  of    "Architect's  and  Builder's    Pocket-Book,"     "Building   Construction   and 

Superintendence  ;    Part  I,   Masons'  Work  ;    Part  II,  Carpenters'  Work  ;  Part  III. 

Trussed  Roofs  and  Roof  Trusses."  "Churches  and  Chapels." 


AUSTIN  T.  BYRNE,  C.  E. 

Civil  Engineer. 

Author  of    "Inspection  of  Materials  and  Workmanship  Employed  in  Construction,' 

"  Highway  Construction." 

^x* 

W.  R.  WARE 

Formerly  Professor  of  Architecture,  Columbia  University. 
Author  of  "  Modern  Perspective." 


Authorities  Consulted— Continued 


CLARENCE  A.  MARTIN 

Professor  of  Architecture  at  Cornell  University. 
Author  of  "  Details  of  Building  Construction.1' 

FRANK  N.  SNYDER 

Architect. 

Author  of  "  Building  Details." 

CHARLES  H.  SNOW 

Author  of  "  The  Principal  Species  of  Wood,  Their  Characteristic  Properties. 

OWEN  B.  MAGINNIS 

Author  of  "  How  to  Frame  a  House,  or  House  and  Roof  Framing." 


HALBERT  P.  GILLETTE,  C.  E. 

Author  of  "  Handbook  of  Cost  Data  for  Contractors  and  Engineers." 

OLIVER  COLEMAN 

Author  of  "Successful  Houses." 

CHAS.  E.  GREENE,  A.  M.,  C.  E. 

Formerly  Professor  of  Civil  Engineering,  University  of  Michigan. 
Author  of  "  Structural  Mechanics." 

LOUIS  de  C.  BERG 

Author  of  "Safe  Building." 

GAETANO  LANZA,  S.  B.,  C.  &  M.  E. 

Professor  of  Theoretical  and  Applied  Mechanics,  Massachusetts  Institute  of  Technology, 
Author  of  "  Applied  Mechanics." 

IRA  O.  BAKER 

Professor  of  Civil  Engineering,  University  of  Illinois. 
Author  of  "  A  Treatise  on  Masonry  Construction." 

GEORGE  P.  MERRILL 

Author  of  "Stones  for  Building  and  Decoration." 


FREDERICK  W.  TAYLOR,  M.E.  and  SANFORD  E.  THOMPSON,  S.  B.,C.E. 

Joint  Authors  of  "  A  Treatise  on  Concrete,  Plain  and  Reinforced." 


Authorities  Consulted— Continued 


A.  W.  BUEL  and  C.  S.  HILL 

Joint  Authors  of  "  Reinforced  Concrete." 

*• 

NEWTON  HARRISON,  E.  E. 

Author  of  "Electric  Wiring,  Diagrams  and  Switchboards." 

^« 

FRANCIS  B.  CROCKER,  E.  M.,  Ph.  D. 

Head  of  Department  of  Electrical  Engineering,  Columbia  University ;  Past  President. 

American  Institute  of  Electrical  Engineers. 
Author  of  "  Electric  Lighting." 

>» 

J.  R.  CRAVATH  and  V.  R.  LANSINGH 

Joint  Authors  of  "  Practical  Illumination." 


JOSEPH  KENDALL  FREITAG,  B.  S.,  C.  E. 

Author  of  "  Architectural  Engineering,  "  Fireproofing  of  Steel  Buildings." 


WILLIAM  H.  BIRKMIRE,  C.  E. 

Author  of  "  Planning  and  Construction  of  High  Office  Buildings,"  "Architectural  Iron 
and  Steel,  and  Its  Application  in  the  Construction  of  Buildings,"  "Compound 
Riveted  Girders,"  "Skeleton  Structures,"  etc, 


EVERETT  U.  CROSBY  and  HENRY  A.  FISKE 

Joint  Authors  of  "  Handbook  of  Fire  Protection  for  Improved  Risk." 

y 

CARNEGIE  STEEL  COMPANY 

Authors  of  "  Pocket  Companion,  Containing  Useful  Information  and  Tables  Appertain- 
ing to  the  Use  of  Steel." 

J.  C.  TRAUTWINE,  C.  E. 

Author  of  "Civil  Engineers'  Pocket  Book." 


ALPHA  PIERCE  JAMISON,  M.  E. 

Assistant  Professor  of  Mechanical  Drawing,  Purdue  University. 
Author  of  "  Advanced  Mechanical  Drawing." 


FRANK  CHOUTEAU  BROWN 

Architect,  Boston. 

Author  of  "  Letters  and  Lettering. 


Authorities  Consulted—Continued 


HENRY  McGOODWIN 

Author  of  "Architectural  Shades  and  Shadows." 
«r« 

VIGNOLA 

Author  of  "  The  Five  Orders  of  Architecture,"  American  Editiori  by  Prof.  Ware, 


CHAS.  D.  MAGINNIS 

Author  of  "  Pen  Drawing,  An  Illustrated  Treatise." 

FRANZ  S.  MEYER 

Professor  of  the  School  of  Industrial  Art  in  Karlsruhe. 
Author  of  "  Handbook  of  Ornament,"  American  Editiot 


RUSSELL  STURGIS 

Author  of  "A  Dictionary  of  Architecture  and  Building,"  and  "How  to  Judge  Archi- 
tecture." 


A.  D.  F.  HAMLIN,  A.  M. 

Professor  of  Architecture  at  Columbia  University. 
Author  of  "  A  Text-book  of  the  History  of  Architecture." 


RALPH  ADAMS  CRAM 

Architect 

Author  of  "  Church  Building." 


C.  H.  MOORE 

Author  of  "  Development  and  Character  of  Gothic  Architecture.' 

ROLLA  C.  CARPENTER,  C.  E.,  M.  M.  E. 

Professor  of  Experimental  Engineering,  Cornell  University. 
Author  of  "  Heating  and  Ventilating  Buildings." 

^» 

WILLIAM  PAUL  GERHARD 

Author  of  "  A  Guide  to  Sanitary  House  Inspection." 

I.  J.  COSGROVE 

Author  of  "  Principles  and  Practice  of  Plumbing." 


For  ewor  d 


HE  rapid  evolution  of  constructive  methods  in  recent 
years,  as  illustrated  in  the  use  of  steel  and  concrete, 
*•  and  the  increased  size  and  complexity  of  buildings, 
has  created  the  necessity  for  an  authority  which  shall 
embody  accumulated  experience  and  approved  practice  along  a 
variety  of  correlated  lines.  The  Cyclopedia  of  Architecture, 
Carpentry,  and  Building  is  designed  to  fill  this  acknowledged 
need. 

€L  There  is  no  industry  that  compares  with  Building  in  the 
close  interdependence  of  its  subsidiary  trades.  The  Architect, 
for  example,  who  knows  nothing  of  Steel  or  Concrete  con- 
struction is  to-day  as  much  out  of  place  on  important  work 
as  the  Contractor  who  cannot  make  intelligent  estimates,  or  who 
understands  nothing  of  his  legal  rights  and  responsibilities.  A 
carpenter  must  now  know  something  of  Masonry,  Electric  Wiring, 
and,  in  fact,  all  other  trades  employed  in  the  erection  of  a  build- 
ing ;  and  the  same  is  true  of  all  the  craftsmen  whose  handiwork 
will  enter  into  the  completed  structure. 

C.  Neither  pains  nor  expense  have  been  spared  to  make  the 
present  work  the  most  comprehensive  and  authoritative  on  the 
subject  of  Building  and  its  allied  industries.  The  aim  has  been, 
noi  merely  to  create  a  work  which  will  appeal  to  the  trained 


expert,  but  one  that  will  commend  itself  also  to  the  beginner 
and  the  self-taught,  practical  man  by  giving  him  a  working 
knowledge  of  the  principles  and  methods,  not  only  of  his  own 
particular  trade,  but  of  all  other  branches  of  the  Building  Indus- 
try as  well.  The  various  sections  have  been  prepared  especially 
for  home  study,  each  written  by  an  acknowledged  authority  on 
the  subject.  The  arrangement  of  matter  is  such  as  to  carry  the 
student  forward  by  easy  stages.  Series  of  review  questions  are 
inserted  in  each  volume,  enabling  the  reader  to  test  his  knowl- 
edge and  make  it  a  permanent  possession.  The  illustrations  have 
been  selected  with  unusual  care  to  elucidate  the  text. 

^L  The  work  will  be  found  to  cover  many  important  topics  on 
which  little  information  has  heretofore  been  available.  This  is 
especially  apparent  in  such  sections  as  those  on  Steel,  Concrete, 
and  Reinforced  Concrete  Construction;  Building  Superintendence; 
Estimating;  Contracts  and  Specifications,  including  the  princi- 
ples and  methods  of  awarding  and  executing  Government  con- 
tracts; and  Building  Law. 

*L  The  method  adopted  in  the  preparation  of  the  work  is  that 
which  the  American  School  of  Correspondence  has  developed 
and  employed  so  successfully  for  many  years.  It  is  not  an 
experiment,  but  has  stood  the  severest  of  all  tests  —  that  of  prac- 
tical use — which  has  demonstrated  it  to  be  the  best  method 
yet  devised  for  the  education  of  the  busy  working  man. 

***  In  conclusion,  grateful  acknowledgment  is  due  the  staff  of 
authors  and  collaborators,  without  whose  hearty  co-operation 
this  work  would  have  been  impossible. 


Table   of  Contents 


VOLUME   VI 


MECHANICAL  DRAWING         .        .        .        .         By  E.  Kenison-f       Page  *ll 

Instruments  and  Materials  —  T-Square  —  Triangles  —  Compasses  —  Dividers  — 
Bow- Pen  and  Pencil  —  Scales  —  Protractors  —  Irregular  Curves  -  Lettering  — 
Penciling1  and  Inking  Plates  —  Geometrical  Definitions —Angles  —  Surfaces  — 
Triangles  —  Quadrilaterals  —  Polygons  —  Circles  —  Measurement  of  Angles  — 
Solids —  Pyramids  —Cylinders  —  Cones  —  Spheres  —  Conic  Sections —  Ellipse  — 
Parabola  —  Hyperbola  —  Odontoidal  Curves  —  Geometrical  Problems  —  Ortho- 
graphic Projection —  Profile  Plane  -Shade  Lines  —  Intersections  and  Develop- 
ments —  Isometric  Projection  —  Oblique  Projections  —  Line  Shading  —  Tracing  — 
Blue- Printing  —  Assembly  Drawing 


ARCHITECTURAL  LETTERING        .       .        .       By  F.  C.  Brown       Page  177 

Office  Lettering — Letter  Forms  —  Skeleton  Letters  —  Composition  —  Spacing  — 
Minuscule  or  Small  Letters  Inscription  Lettering— Italian  Renaissance  Forms  — 
Uncial  Gothic  Capitals  —  Inscription  Letter  Sections  —  Classic  Roman  Letters  — 
English  17th  Century  Letters  — Black-Letter  Alphabet  — Gothic  Lettering- 
Italian  Black  Letters  —  English  Gothic  Text 


ARCHITECTURAL  DRAWING      ByF.A.  Bourne  and  H.  V.  von  Hoist     Page  22$ 

Instruments— Materials  for  Wash-Drawings  —  Tinted  Papers  —  Tracing  Paper 
—  Tracing  Cloth  —  Line  Drawing  —  Importance  of  Axes  —  Limiting  Lines  — 
Oblique  Projections  —  Modeling  Drawings  —  Shadows  —  Values  —  Rendering  in 
Wash  —  Grading  Tints  —  Combination  of  Color  —  Primary,  Secondary,  and 
Complementary  Colors  —  Water-Color  Rendering  —  Water-Color  Sketching  — 
Preliminary  Studies  in  Architectural  Design  —  Method  of  Ecolt  des  Beaux  Arts  — 
Exhibition  Drawings  —  Measured  Work  —  Datum  Lines  —  Approximations  — 
Rubbings  —  Practical  Problems  in  Design  —  Theory  of  Design  —  Composition  — 
Scale  —  Ornament  —  Design  of  the  Dwelling  —  Various  Stages  in  Building  a 
House  —  Buildings  for  Offices  —  Design  of  Colonial  House  —  Basement  Plan  — 
Floor  Plans  —  Elevations,  Front  and  Side  —  Framing  Plans  —  Details  of  Cornice, 
Plumbing,  Window-Frames',  Trimming,  Porch,  Kitchen,  Pantry,  China  Closet, 
Staircase,  Fireplaces,  etc. —  Uniform  Titles  for  Drawings 


Tor  page  numbers,  see  foot  of  pages. 

*For  professional  standing  of  authors,  see  list  of  Authors  and  Collaborators  at 
front  of  volume. 


MECHANICAL  DRAWING. 


The  subject  of  mechanical  drawing  is  of  great  interest  and 
importance  to  all  mechanics  and  engineers.  Drawing  is  the 
method  used  to  show  graphically  the  small  details  of  machinery; 
it  is  the  language  by  which  the  designer  speaks  to  the  workman; 
it  is  the  most  graphical  way  to  place  ideas  and  calculations  on 
record.  Working  drawings  take  the  place  of  lengthy  explana- 
tions, either  written  or  verbal.  A  brief  inspection  of  an  accurate, 
well-executed  drawing  gives  a  -better  idea  of  a  machine  than  a 
large  amount  of  verbal  description.  The  better  and  more  clearly 
a  drawing  is  made,  the  more  intelligently  the  workman  can  com- 
prehend the  ideas  of  the  designer.  A  thorough  training  in  this 
important  subject  is  necessary  to  the  success  of  everyone  engaged 
in  mechanical  work.  The  success  of  a  draftsman  depends  to  some 
extent  upon  the  quality  of  his  instruments  and  materials.  Begin- 
ners frequently  purchase  a  cheap  grade  of  instruments.  After 
they  have  become  expert  and  have  learned  to  take  care  of  their 
instruments  they  discard  them  for  those  of  better  construction  and 
finish.  This  plan  has  its  advantages,  but  to  do  the  best  work, 
strong,  well-made  and  finely  finished  instruments  are  necessary. 

INSTRUHENTS  AND  HATERIALS. 

Drawing  Paper.  In  selecting  drawing  paper,  the  first  thing 
to  be  considered  is  the  kind  of  paper  most  suitable  for  the  pro- 
posed work.  For  shop  drawings,  a  manilla  paper  is  frequently 
used,  on  account  of  its  toughness  and  strength,  because  the  draw- 
ing is  likely  to  be  subjected  to  considerable  hard  usage.  If  a 
finished  drawing  is  to  be  made,  the .  best  white  drawing  paper 
should  be  obtained,  so  that  the  drawing  will  not  fade  or  become 
discolored  with  age.  A  good  drawing  paper  should  be  strong, 
have  uniform  thickness  and  surface,  should  stretch  evenly,  and 
should  neither  repel  nor  absorb  liquids.  It  should  also  allow  con- 
siderable  erasing  without  spoiling  the  surface,  and  it  should  lie 
smooth  when  stretched  or  when  ink  or  colors  are  used.  It  is,  of 


11 


MECHANICAL    DRAWING. 


course,  impossible  to  find  all  of  these  qualities  in  any  one  paper, 
as  for  instance  great  strength  cannot  be  combined  with  fine 
surface. 

In  selecting  a  drawing  paper  the  kind  should  be  chosen 
which  combines  the  greatest  number  of  these  qualities  for  the 
given  work.  Of  the  better  class  Whatman's  are  considered  by 
far  the  best.  This  paper  is  made  in  three  grades;  the  hot 
pressed  has  a  smooth  surface  and  is  especially  adapted  for  pencil 
and  very  fine  line  drawing,  the  cold  pressed  is  rougher  than 
the  hot  pressed,  has  a  finely  grained  surface  and  is  more  suit- 
able for  water  color  drawing  ;  the  rough  is  used  for  tinting.  The 
cold  pressed  does  not  take  ink  as  well  as  the  hot  pressed,  but 
erasures  do  not  show  as  much  on  it,  and  it  is  better  for  general 
work.  There  is  but  little  difference  in  the  two  sides  of  Whatman's 
paper,  and  either  can  be  used.  This  paper  comes  in  sheets  of 
standard  sizes  as  follows:  — 
Cap,  IS  X  17  inches.  Elephant,  23  X  28  inches. 


Demy,  15  X  20 

Medium,  17  X  22 

Royal,  19  X  24 

Super-Royal,  19  X  27 

Imperial,  22  X  30 


Columbia,  23  X  34 

Atlas,  26  X  34 

Double  Elephant,  27  X  40 

Antiquarian,  31  X  53 

Emperor,  48  X  68 


The  usual  method  of  fastening  paper  to  a  drawing  board  is  by 
means  of  thuriib  tacks  or  small  one-ounce  copper  or  iron  tacks. 
In  fastening  the  paper  by  this  method  first  fasten  the  upper  left 
hand  corner  and  then  the  lower  right  pulling  the  paper  taut.  The 
other  two  corners  are  then  fastened,  and  sufficient  number  of  tacks 
are  placed  along  the  edges  to  make  the  paper  lie  smoothly.  For 
very  fine  work  the  paper  is  usually  stretched  and  glued  to  the 
board.  To  do  this  the  edges  of  the  paper  are  first  turned  up  all 
the  way  round,  the  margin  being  at  least  one  inch.  The  whole 
surface  of  the  paper  included  between  these  turned  up  edges  is 
then  moistened  by  means  of  a  sponge  or  soft  cloth  and  paste  or 
glue  is  spread  on  the  turned  up  edges.  After  removing  all  the 
surplus  water  on  the  paper,  the  edges  are  pressed  down  on  the 
board,  commencing  at  one  corner.  During  this  process  of  laying 
down  the  edges,  the  paper  should  be  stretched  slightly  by  pulling 
the  edges  towards  the  edges  of  the  drawing  board.  The  drawing 
board  is  then  placed  horizontally  and  left  to  dry.  After  the  paper 
has  become  dry  it  will  be  found  to  be  as  smooth  and  tight  as  a 


MECHANICAL    DRAWING 


drum  head.     If,  in  stretching,  the  paper  is  stretched  too  much  it 
is  likely  to  split  in  drying.     A  slight  stretch  is  sufficient. 

Drawing  Board.  The  size  of  the  drawing  hoard  depends 
upon  the  size  of  paper.  Many  draftsmen,  however,  have  several 
boards  of  various  sizes,  as  they  are  very  convenient.  The  draw- 
ing board  is  usually  made  of  soft  pine,  which  should  be  well  sea- 
soned and  straight  grained.  The  grain  should  run  lengthwise  of 
the  board,  and  at  the  two  ends  there  should  be  pieces  about  1^  or 
2  inches  wide  fastened  to  the  board  by  nails  or  screws.  These 
end  pieces  should  be  perfectly  straight  for  accuracy  in  using  the 
T-square.  Frequently  the  end  pieces  are  fastened  by  a  glued 


DRAWING  BOARD. 

matched  joint,  nails  and  screws  being  alsp  used;  Two  cleats  on 
the  bottom  extending  the  whole  width  of  the  board,  will  reduce 
the  tendency  to  warp,  and  make  the  board  easier  to  move  -as  they 
raise  it  from  the  table. 

Thumb  Tacks.  Thumb  tacks  are  used  for  fastening  the 
paper  to  the  drawing  board.  They  are  usually  made  of  steel 
either  pressed  into  shape,  as  in  the  cheaper  grades,  or  made  with  a 
head  of  German  silver  with  the  point  screwed  and  riveted  to  it. 
They  are  made  in  various  sizes  and  are  very  convenient  as  they 
can  be  easily  removed  from  the  board.  For  most  work  however, 


13 


MECHANICAL    DRAWING. 


draftsmen  use  small  one-ounce  copper  or  iron  tacks,  as  they  can  be 
forced  flush  with  the  drawing  paper,  thus  offering  no  obstruction 
to  the  T-square.     They  also  possess  the  advantage  of  cheapness. 
Pencils.     In  pencilling  a  drawing  the  lines  should  be  very 
fine  and  light.     To  obtain  these  light  lines  a  hard  lead  pencil  must 
be    used.     Lead  pencils  are  graded  according  to  their  hardness, 
and  are  numbered  by  using  the  letter  H.     In  general  a  lead  pencil 
of  5H  (or  HHHHH)  or  6H  should  be  used.    A  softer  pencil,  4H, 
is   better  for  making   letters,  figures  and 
points.       A  hard  lead   pencil   should   be 
sharpened  as  shown  in  Fig.  1.     The  wood 
is  cut  away  so  that  about  ^   or   |    inch 
of  lead  projects.       The  lead  can  then  be 
sharpened  to  a  chisel  edge  by  rubbing  it 
against  a  bit  of  sand  paper  or  a  fine  file. 
It  should  be  ground  to  a  chisel  edge  and 
the  corners  slightly  rounded.     In  making 
the  straight  lines  the  chisel  edge  should 
be  used  by  placing  it  against  the  T-square 
or  triangle,  and  because  of  the  chisel  edge 

the  lead  will  remain  sharp  much  longer  than  if  sharpened  to  a  point. 
This  chisel  edge  enables  the  draftsman  to  draw  a  fine  line  exactly 
through  a  given  point.  If  the  drawing  is  not  to  be  inked,  but  is 
made  for  tracing  or  for  rough  usage  jn  the  shop,  a  softer  pencil, 
3H  or  4H,  may  be  used,  as  the  lines  will  then  be  somewhat  thicker 
and  heavier.  The  lead  for  compasses  may  also  be  sharpened  to  a 
point  although  some  draftsmen  prefer  to  use  a  chisel  edge  in  the 
compasses  as  well  as  for  the  pencil. 

In  using  a  very  hard  lead  pencil,  the  chisel  edge  will  make  a 
deep  depression  in  the  paper  if  much  pressure  is  put  on  the  pencil. 
As 'this  depression  cannot  be  erased  it  is  much  better  to  press 
lightly  on  the  pencil. 

Erasers.  In  making  drawings,  but.  little  erasing  should  be 
necessary.  However,  in  case  this  is  necessary,  a  soft  rubber 
should  be  used.  In  erasing  a  line  or  letter,  great  care  must  be 
exercised  or  the  surrounding  work  will  also  become  erased.  To 
prevent  this,  some  draftsmen  cut  a  slit  about  3  inches  long  and 
J  to  J  inch  wide  in  a  card  as  shown  in  Fig.  2.  The  card  is  then 


14 


MECHANICAL    DRAWING. 


placed  over  the  work  and  the  line  erased  without  erasing  the  rest 
of  the  drawing.  An  erasing  shield  of  a  form  similar  to  that  shown 
in  Fig.  3  is  very  convenient,  especially  in  erasing  letters.  It  is 
made  of  thin  sheet  metal  and  is  clean  and  durahle. 

For  cleaning  drawings,  a  sponge  rubber  may  be  used.     Bread 


<O      <=>      o 

0  -          O 


Fig.  2. 


Fig.  3. 


crumbs  are  also  used  for  this  purpose.  To  clean  the  drawing 
scatter  dry  bread  crumbs  over  it  and  rub  them  on  the  surface 
with  the  hand. 

T-Square.     The  T-square  consists  of  a  thin    straight   edge 


Fig.  4. 

called  the  blade,  fastened  to  a  head  at  right  angles  to  it.  It  gets 
its  name  from  the  general  shape.  T-squares  are  made  of  various 
materials,  wood  being  the  most  commonly  used.  Fig.  4  shows  an 
ordinary  form  of  T-square  which  is  adapted  to  most  work.  In 
Fig.  5  is  shown  a  T-square  with  edges  made  of  ebony  or  mahogany, 
as  these  woods  are  much  harder  than  pear  wood  or  maple,  which 
is  generally  used.  The  head  is  formed  so  as  to  fit  against  the  left- 
hand  edge  of  the  drawing  board,  while  the  blade  extends  over  the 
surface.  It  is  desirable  to  have  the  blade  of  the  T-square  form  a 
right  angle  with  the  head,  so  that  the  lines  drawn  with  the  T- 
square  will  be  at  right  angles  to  the  left-hand  edge  of  the  board. 
This,  however,  is  not  absolutely  necessary,  because  the  lines  drawn 
with  the  T-square-  are  always  with  reference  to  one  edge  of  the 


15 


MECHANICAL     DRAWING. 


board  only,  and  if  this  edge  of  the  board  is  straight,  the  lines 
drawn  with  the  T-square  will  be  parallel  to  each  other.  The  T-- 
square should  never  be  used  except  with  the  left-hand  edge  of  the 
board,  as  it  is  almost  impossible  to  find  a  drawing  broad  with  the 
edges  parallel  or  at  right  angles  to  each  other. 

The  T-square  with  an  adjustable  head  is  frequently  very  con- 
venient, as  it  is  sometimes  necessary  to  draw  lines  parallel  to  each 


Fig.  5. 

other  which  are  not  at  right  angles  to  the  left-hand  edge  of  the 
board.  This  form  of  T-square  is  similar  to  the  ordinary  T-square 
already  described,  but  the  'head  is  swiveled  so  that  it  may  be 
clamped  at  any  desired  angle.  The  ordinary  T-square  as  showo 

in  Figs.  4  and  5  is,  how 
ever,  adapted  to  almost 
any  class  of  drawing. 

Fig.  6  shows  the 
method  of  drawing  parallel 
horizontal  lines  with  the 
T-square.  With  the  head 
of  the  T-square  in  contact 

F.  with  the  left-hand  edge  of 

the  board,  the  lines  may  be 

drawn  by  moving  the  T-square  to  the  desired  position.  In  using  the 
T-square  the  upper  edge  should  always  be  used  for  drawing  as  the 
two  edges  may  not  be  exactly  parallel  and  straight,  and  also  it  is 
more  convenient  to  use  this  edge  with  the  triangles.  If  it  is  neces- 
sary to  use  a  straight  edge  for  trimming  drawings  or  cutting  the 
paper  from  the  board,  the  lower  edge  of  the  T-square  should  be 
used  so  that  the  upper  edge  may  not  be  marred. 

For  accurate  work  it  is  absolutely  necessary  that  the  working 
edge  of  the    T-square  'should  be  exactly   straight.     To  test  the 


16 


MECHANICAL    DRAWING. 


9 


straightness  of  the  edge  of  the  T-square,  two  T-squares  may  be 
placed  together  as  shown  in  Fig.  7.  This  figure  shows  plainly 
that  the  edge  of  one  of  the  T-squares  is  crooked.  This  fact,  how- 
ever, does  not  prove  that  either  one  is  straight,  and  for  .this  deter- 
mination a  third  blade  must  be 
used  and  tried  with  the  two 
given  T-squares  successively. 

Triangles.  Triangles  are 
made  of  various  substances  such 
as  wood,  rubber,  celluloid  and 
steel.  Wooden  triangles  are 
cheap  but  are  likely  to  warp  and  get  out  of  shape.  The  rubber  tri- 
angles are  frequently  used,  and  are  in  general  satisfactory.  The 
transparent  celluloid  triangle  is,  however,  extensively  used  on  ac- 
count of  its  transparency,  which  enables  the  draftsmen  to  see  the 
work  already  done  even  when  covered  with  the  triangle.  In  using 
a  rubber  or  celluloid  triangle  take  care  that  it  lies  perfectly  flat  or 


Fig.  7. 


TRIANGLES. 

is  hung  up  when  not  in  use  ;  when  allowed  to  lie  on  the  drawing 
board  with  a  pencil  or  an  eraser  under  one  corner  it  will  become 
warped  in  a  short  time,  especially  if  the  room  is  hot  or  the  sun 
happens  to  strike  the  triangle. 

Triangles  are  made  in  various  sizes,  and  many  draftsmen 
have  several  constantly  on  hand.  A  triangle  from  6  to  8  inches 
on  a  side  will  be  found  convenient  for  most  work,  although  there 
are  many  cases  where  a  small  triangle  measuring  about  4  inches 


17 


10 


MECHANICAL     DRAWING. 


L--V\ 


on  a  side  will  be  found  useful.     Two  triangles  are  necessary  for 

every  draftsman,  one  having  two  angles  of  45  degrees  each  and 

one  a  right  angle  ;  and  the  other  having  one  angle  of  60  degrees, 

one  of  30  degrees  and  one  of  90  degrees. 

The  value  of  the  triangle  depends  upon  the  accuracy  of  the 

angles  and  the  straightness  of  the  edges.     To  test  the  accuracy  of 

the  right  angle  of  a  tri- 
angle,  place  the  triangle 
with  the  lower  edge  rest- 
ing on  the  edge  of  the 
T-square,  as  shown  in 
Fig.  8.  Now  draw  the 
line  C  D,  which  should  be 
perpendicular  to  the  edge 
of  the  T-square.  The 
same  triangle  should  then 

be  placed  in  the  position  shown  at  B.     If  the  right  angle  of  the 

triangle  is  exactly  90  degrees  the  left-hand  edge  of  the  triangle 

should  exactly  coincide  with  the  line  C  D. 

To  tost  the  accuracy  of  the  45-degree  triangles,  first  test  the 

right  angle  then  place  the 

triangle    with    the    lower 

edge  resting  on  the  work- 
ing edge  of   the  T-square, 

and  draw  the  line  E  F  as 

shown  in    Fig.    9.       Now 

without    moving    the    T- 

square  place    the    triangle 


Fig.  9. 


so  that  the  other  45-degree 

angle    is    in    the  position 

occupied  by  the  first.     If  the  two  45-degree  angles  coincide  they 

are  accurate. 

Triangles  are  very  convenient  in  drawing  lines  at  right 
angles  to  the  T-square.  The  method  of  doing  this  is  shown  in 
Fig.  10.  Triangles  are  also  used  in  drawing  lines  at  an  angle 
with  the  horizontal,  by  placing  them  on  the  board  as  shown  in 
Fig.  11.  Suppose  the  line  E  F  (Fig.  12)  is  drawn  at  any  anjle, 
and  we  wish  to  draw  a  line  through  the  point  P  parallel  to  it. 


18 


MECHANICAL     DRAWING. 


11 


First  place  one  of  the  triangles  as  shown  at  A,  having  one  edge 
coinciditg  with  the  given  line.  Now  take  the  other  trian-gle  and 
place  one  of  its  edges  in  contact  with  the  bottom  edge  of  triangle 
A.  Holding  the  triangle  B  firmly  with  the  left  hand  the  triangle 
A  may  be  slipped  along  to  .the  right  or  to  the  left  until  the  edge 
of  the  triangle  reaches  the 
point  P.  The  line  M  N 
may  then  be  drawn  along 
the  edge  of  the  triangle 
passing  through  the  point 
P.  In  place  of  the  tri- 
angle B  any  straight  edge 
such  as  a  T-square  may  be 
used. 

A  line  can  be  drawn 


Fig.  10. 


perpendicular  to  another  by  means  of  the  triangles  as  follows. 
Let  E  F  (Fig.  13)  be  the  given  line,  and  suppose  we  wish  to 
draw  a  line  perpendicular  to  E  F  through  the  point  D.  Place 
the  longest  side  of  one  of  the  triangles  so  that  it  coincides 

with  the  lina  E  F,  as  the 
triangle  is  snown  in  posi- 
tion at  A.  Place  the  other 
triangle  (or  any  straight 
edge)  in  the  position  of 
the  triangle  as  shown  at 
B,  one  edge  resting  against 
the  edge  of  the  triangle  A. 


Fig.  11. 


Then  holding. B  with  the 
left  hand,  place  the  tri- 
angle A  in  the  position  shown  at  C,  so  that  the  longest  side 
passes  through  the  point  D.  A  line  can  then  be  drawn  through 
the  point  D  perpendicular  to  E  F. 

In  previous  figures  we  have  seen  how  lines  may  be  drawn 
making  angles  of  30,  45,  60  and  90  degrees  with  the  horizontal. 
If  it  is  desired  to  draw  lines  forming  angles  of  15  and  75  degrees 
the  triangles  may  be  placed  as  shown  in  Fig.  14. 

In  using  the  triangles  and  T-square  almost  any  line  may  be 
drawn.  Suppose  we  wish  to  draw  a  rectangle  having  one  side 


19 


12 


MECHANICAL     DRAWING. 


horizontal.  First  place  the  T-square  as  shown  in  Fig.  15.  By 
moving  the  T-square  up  or  down,  the  sides  A  B  -and  D  C  may  be 
drawn,  because  they  are  horizontal  and  parallel.  Now  place  one 
of  the  triangles  resting  on  the  T-square  as  shown  at  E,  and  hav- 
ing the  left-hand  edge  passing  through  the  point  D.  The  vertical 


Fig.  12. 


Fig.  13. 


line  D  A  may  be  drawn,  and  by  sliding  the  triangle  along  the  edge 
of  the  T-square  to  the  position  F  the  line  B  C  may  be  drawn  by 
using  the  same  edge.  These  positions  are  shown  dotted  in  Fig.  15. 
If  the  rectangle  is  to  be  placed  in  some  other  position  on  the 
drawing  board,  as  shown  in  Fig.  16,  place  the  45-degree  triangle 

F  so  that  one  edge  is 
parallel  to  or  coincides 
with  the  side  D  C.  Now 
holding  the  triangle  F  in 
position  place  the  triangle 
H  so  that  its  upper  edgs 
coincides  with  the  lower 
edge  of  the  triangle  F. 
~By  holding  H  in  position 
and  sliding  the  triangle  F 
along  its  upper  edge,  the  sides  A  B  and  D  C  may  be  drawn. 
To  draw  the  sides  A  D  and  B  C  the  triangle  should  be  used  as 
shown  at  E. 

Compasses.  Compasses  are  used  for  drawing  circles  and 
arcs  of  circles.  They  are  made  of  various  materials  and  in  various 
sizes.  The  cheaper  class  of  instruments  are  made  of  brass,  but 
they  are  unsatisfactory  on  account  of  the  odor  and  the  tendency 
to  tarnish.  The  best  material  is  German  silver.  It  does  not  SDJ! 


Fig.  14. 


MECHANICAL     DRAWING. 


readily,  it  has  no  odor,  and  is  easy  to  keep  clean.  Aluminum  in- 
struments possess  the  advantage  of  lightness,  but  on  account  of 
the  soft  metal  they  do  not  wear  well. 

The  compasses  are  made  in  the  form  shown  in  Figs.  17  and 
18.  Pencil  and  pen  points  are  provided,  as  shown  in  Fig.  17. 
Either  pen  or  pencil  may  be  inserted  in  one  leg  by  means  of  a 
shank  and  socket.  The 
other  leg  is  fitted  with  a 
needle  point  which  is 
placed  at  the  center  of  the 
circle.  In  most  instru- 
ments the  needle  point  is 


D  • 


Fig.  15. 


separate,  and  is  made  of  a 
piece  of  round  steel  wire 
having  a  square  shoulder 
at  one  or  both  ends.  Be- 
low this  shoulder  the  needle  point  projects.  The  needle  is 
made  in  this  form  so  that  the  hole  in  the  paper  may  be  very 
minute.  . 

In  some  instruments  lock  nuts  are  used  to   hold    the  joint 
firmly  in  position.     These  lock  nuts  are  thin  discs  of  steel,  with 

notches  for  using  a  wrench  or 
forked  key.  Fig.  19  shows  the 
detail  of  the  joint  of  high  grade 
instruments.  Both  legs  are  alike 
at  the  joint,  and  two  pivoted 
screws  are  inserted  in  the  yoke. 
This  permits  ample  movement 
of  the  legs,  and  at  the  same 


Fig.  16. 


time  gives  the  proper  stiff- 
ness. The  flat  surface  of  one  of 
the  legs  is  faced  with  steel,  the  other  being  of  German  silver, 
in  order  that  the  rubbing  parts  may  be  of  different  metals.  Small 
set  screws  are  used  to  prevent  the  pivoted  screws  from  turning 
in  the  yoke.  The  contact  surfaces  of  this  joint  are  made  cir- 
cular '  to  exclude  dust  and  dirt  and  to  prevent  rusting  of  the 
steel  face. 

Figs.  20,  21  and   22  show  the  detail  of  the  socket;   in   some 


21 


14 


MECHANICAL     DRAWING. 


instruments  the  shank  and  socket  are  pentagonal,  as  shown  in 
Fig.  20.  The  shank  enters  the  socket  loosely,  and  is  held  in  place 
by  means  of  the  screw.  Unless  used  very  carefully  this  arrange- 
ment is  not  durable  because  the  sharp  corners  soon  wear,  and  the 
pressure  on  the  set  screw  is  not  sufficient  to  hold  the  shank  firmly 
in  place. 

In  Fig.  21  is  shown  another  form  of  shank.  This  is  round, 
having  a  flat  top.  A  set  screw  is  also  used  to  hold  this  in  posi- 
tion. A  still  better  form  of  socket  is  shown  in  Fig.  22 ;  the  hole 


Fig.  17. 


Fig.  18. 


is  made  tapered  and  is  circular.  The  shank  fits  accurately,  and 
is  held  in  perfect  alignment  by  a  small  steel  key.  The  clamping 
screw  is  placed  upon  the  side,  and  keeps  the  two  portions  of  the 
split  socket  together. 

Figs.  17  and  1.8  show  that  both  legs  of  the  compasses  are 
jointed  in  order  that  the  lower  part  of  the  legs  may  be  perpen- 
dicular to  the  paper  while  drawing  circles.  In  this  way  the 
needle  point  makes  but  a  small  hole  in  the  paper,  and  both  nibs  of 


22 


MECHANICAL     DRAWING. 


the  pen  will  press  equally  on  the  paper.  In  pencilling  circles  it 
is  not  as  necessary  that  the  pencil  should  be  kept  vertical;  it  is  a 
good  plan,  however,  to  learn  to  use  them  in  this  way  both  in  pen- 
cilling and  inking.  The  com- 
passes should  be  held  loosely  be- 
tween the  thumb  and  forefinger. 
If  the  needle  point  is  sharp,  as 
it  should  be,  only  a  slight  pres- 
sure will  be  required  to  keep  it 
in  place.  While  drawing  the 
circle,  incline  the  compasses 
slightly  in  the  direction  of 
revolution  and  press  lightly  on 
the  pencil  or  pen. 

In  removing  the  pencil  or 
pen,    it    should  be    pulled    out  Fig.  19. 

straight.  If  bent  from  side  to  side  the  socket  will  become  en- 
larged and  the  shank  worn;  this  will  render  the  instrument  inac- 
curate. For  drawing  large  circles  the  lengthening  bar  shown  in 
Fig.  17  should  be  used.  When  using  the  lengthening  bar  the 


Fig.  20. 


Fig.  21. 


needle   point  should  be    steadied  with    one  hand  and  the  circle 
described  with  the  other. 

Dividers.     Dividers,  shown  in  Fig.  23,  are  made  similar  to  the 
compasses.     They  are  used  for  laying  off  distances  on  the  draw- 
ing, either  from  scales  or  from  other  parts  of  the  drawing.     They 
.,  may  also  be  used  for  dividing  a  line 

I — ^l"      '^"'^Ij — ^  *n*°    e(lual  Pai'ts.      When  dividing  a 

Fio.  22  line    into    equal    parts    the    dividers 

should  be  turned  in  the  opposite  direc- 
tion each  time,  so  that  the  moving  point  passes  alternately  to 
the  right  and  to  the  left.  The  instrument  can  then  be  operated 
readily  with  one  hand.  The  points  of  the  dividers  should  be 
very  sharp  so  that  the  holes  made  in  the"  paper  will  be  small 
If  large  holes  are  made  in  the  paper,  and  the  distances  betweer 


23 


16  MECHANICAL     DRAWING. 

the  points  are  not  exact,  accurate  spacing  cannot  be  done 
Sometimes  the  compasses  are  furnished  with  steel  divider  points 
in  addition  to  the  pen  and  pencil  points.  The  compasses  may 
then  be  used  either  as  dividers  or  as  compasses.  Many  drafts- 
men use  a  needle  point  in  place  of  dividers  for  making  measure- 
ments from  a  scale.  The  eye  end  of  a  needle  is  first  broken  off 
and  the  needle  then  forced  into  a  small  handle  made  of  a  round 
piece  of  soft  pine.  This  instrument  is  very  convenient 
for  indicating  the  intersection  of  lines  and  marking  off 
distances. 

Bow  Pen  and  Bow  Pencil.  Ordinary  large  compasses 
are  too  heavy  to  use  in  making  small  circles,  fillets,  etc. 
The  leverage  of  the  long  leg  is  so  great  that  it  is  very 
difficult  to  draw  small  circles  accurately.  For  this  reason 
the  bow  compasses  shown  in  Figs.  24  and  25  should  be 
used  on  all  arcs  and  circles  having  a  radius  of  less  than 
three-quarters  inch.  The  bow  compasses  are  also  con- 
venient for  duplicating  small  circles  such  as  those  which 
represent  boiler  tubes,  bolt  holes,  etc.,  «ince  there  is  no 
tendency  to  slip. 

The  needle  point  must  be  adjusted  to  the  same 
length  as  the  pen  or  pencil  point  if  very  small  circles  are 
to  be  drawn.  The  adjustment  for  altering  the  radius  of 
the  circle  can  be  made  by  turning  the  nut.  If  the  change 
in  radius  is  considerable  the  points  should  be  pressed  to- 
gether to  remove  the  pressure  from  the  nut  which  can 
Fi  '  23  then  be  turned  in  either  direction  with  but  little  wear  on 

the  threads. 

Fig.  26  shows  another  bow  instrument-  which  is  frequently 
used  in  small  work  in  place  of  the  dividers.  It  has  the  advantage 
of  retaining  the  adjustment. 

Drawing  Pen.  For  drawing  straight  lines  and  curves  that 
are  not  arcs  of  circles,  the  line  pen  (sometimes  called  the  -ruling 
pen)  is  used.  It  consists  of  two  blades  of  steel  fastened  to  a 
handle  as  shown  in  Fig.  27.  The  distance  between  the  pen  points 
can  be  adjusted  by  the  thumb  screw,  thus  regulating  the  width  of 
line  to  be  drawn.  The  blades  are  given  a  slight  curvature  so  that 
there  will  be  a  cavity  for-  ink  when  the  points  are  close  together. 


,24 


MECHANICAL     DRAWING. 


17 


The  pen  may  be  filled  by  means  of  a  common  steel  pen  or 
with  the  quill  which  is  provided  with  some  liquid  inks.  The  pen 
should  not  be  dipped  in  the  ink  because  it  will  then  be  necessary 
to  wipe  the  outside  of  the  blades  before  use.  The  ink  should 
fill  the  pen  to  a  height  of  about  ^  or  |  inch ;  if  too  much  ink  is 
placed  in  the  pen  it  is  likely  to  drop  out  and  spoil  the  drawing. 
Upon  finishing  the  work  the  pen  should  be  carefully  wiped  with 


Fig.  24. 


Fig.  25. 


Fig.  26. 


chamois  or  a  soft  cloth,  because  most  liquid  inks  corrode  the  steel. 
In  using  the  pen,  care  should  be  taken  that  both  blades  bear 
equally  on  the  paper.  If  the  points  do  not  bear  equally  the  line 
will  be  ragged.  If  both  points  touch,  and  the  pen  is  in  good 
condition  the  line  will  be  smooth.  The  pen  is  usually  inclined 
slightly  in  the  direction  in  which  the  line  is  drawn.  The  'pen 


Fig.  27. 

should  tour.Ji  the  triangle  or'  T-square  which  serve  as  guides,  but 
it  should  not  be  pressed  against  them  because  the  lines  will  then 
be  uneven.  The  points  of  the  pen  should  be  close  to  the  edge  of 
the  triangle  or  T-square,  but  should  not  touch  it. 

To    Sharpen  the  Drawing  Pen.        After  the  pen  has  been 
used  for  some  time  the  points  become  worn,  and  it  is  impossible 


25 


18  MECHANICAL    DRAWING. 

to  make  smooth  lines.  This  is  especially  true  if  rough  paper  ig 
used.  The  pen  can  be  put  in  proper  condition  by  sharpening  it. 
To  do  this  take  a  small,  flat,  close-grained  oil-stone.  The  blades 
should  first  be  screwed  together,  and  the  points  of  the  pen  can  be 
given  the  proper  shape  by  drawing  the  pen  back  and  forth  over 
the  stone  changing  the  inclination  so  that  the  shape  of  the  ends 
will  be  parabolic.  This  process  dulls  the  points  but  gives  them 
the  proper  shape,  and  makes  them  of  the  same  length. 

To  sharpen  the  pen,  separate  the  points  slightly  and  rub  one 
of  them  on  the  oil-stone.  -While  doing  this  keep  the  pen  at  an 
angle  of  from  10  to  15  degrees  with  the  face  of  the  stone,  and 
give  it  a  slight  twisting  movement.  This  part  of  the  operation 
requires  great  care  as  the  shape  of  the  ends  must  not  be  altered. 
After  the  pen  point  has  become  fairly  sharp  the  other  point 
should  be  ground  in  the  same  manner.  All  the  grinding  should 
be  done  on  the  outside  of  the  blades.  The  burr  should  be 
removed  from  the  inside  of  the  blades  by  using  a  piece  of  leather 
or  a  piece  of  pine  wood. 

Ink  should  now  be  placed  between  the  blades  and  the  pen 
tried.  The  pen  should  make  a  smooth  line  whether  fine  or 
heavyr  but  if  it  does  not  the  grinding  must  be  continued  and  the 
pen  tried  frequently. 

Ink.  India  ink  is  always  used  for  drawing  as  it  makes  a 
permanent  black  line.  It  may  be  purchased  in  solid,  stick  form 
or  as  a  liquid.  The  liquid  form  is  very  convenient  as  much  time 
is  saved,  and  all  the  lines  will  be  of  the  same  color ;  the  acid  in 
the  ink,  however,  corrodes  steel  and  makes  it  necessary  to  keep 
the  pen  perfectly  clean. 

Some  draftsmen  prefer  to  use  the  India  ink  which  comes  in 
stick  form.  To  prepare  it  for  use,  a  little  water  should  be  placed 
in  a  saucer  and  one  end  of  the  stick  placed  in  it.  The  ink  is 
ground  by  giving  it  a  twisting  movement.  When  the  water  has 
become  black  and  slightly  thickened,  it  should  be  tried.  A 
heavy  line  should.be  made  on  a  sheet  of  paper  and  allowed  to 
dry.  If  the  line  has  a  grayish  appearance,  more  grinding  is 
necessary.  After  the  ink  is  thick  enough  to  make  a  good  black 
line,  the  grinding  should  cease,  because  very  thick  ink  will  not 
flow  freely  front  the  pen.  If,  however,  the  ink  has  become  too 


MECHANICAL    DRAWING.  19 

thick,  it  may  be  diluted  with  water.  After  using,  the  stick 
should  be  wiped  dry  to  prevent  crumbling.  It  is  well  to  grind 
the  ink  in  small  quantities  as  it  does  not  dissolve  readily  if  it  has 
once  become  dry.  If  the  ink  is  kept  covered  it  will  keep  for  two 
or  three  days. 

Scales.  Scales  are  used  for  obtaining  the  various  measure- 
ments on  drawings.  They  are  made  in  several  forms,  the  most 
convenient  being  the  flat  with  beveled  edges  and  the  triangular. 
The  scale  is  usually  a  little  over  12  inches  long  and  is  graduated 
for  a  distance  of  12  inches.  The  triangular  scale  shown  in  Fig. 
28  has  six  surfaces  for  graduations,  thus  allowing  many  gradua- 
tions on  the  same  scale. 

The  graduations  on  the  scales  are  arranged  so  that  the 
drawings  may  be  made  in  any  proportion  to  the  actual  size.  For 
mechanical  work,  the  common  divisions  are  multiples  of  two. 


Fig.  28. 

Thus  we  make  drawings  full  size,  half  size,  ^,  •£-,  -jL,  gL,  J^,  etc. 
If  a  drawing  is  ^  size,  3  inches  equals  1  foot,  hence  3  inches  is 
divided  into  12  equal  parts  and  each  division  represents  one  inch. 
If  the  smallest  division  on  a  scale  represents  Jg  inch,  the  scale  is 
said  to  read  to  -Jg-  inch. 

Scales  are  often  divided  into'-j1^,  ^,  ^,  3^,  etc.,  for  archi- 
tects, civil  engineers,  and  for  measuring  on  indicator  cards. 

The  scale  should  never  be  used  for  drawing  lines  in  place  of 
triangles  or  T-square. 

Protractor..  The  protractor  is  an  instrument  used  for  laying, 
off  and  measuring  angles.  It  is  made  of  steel,  brass,  horn  and 
paper.  If  made  of  metal  the  central  portion  is  cut  out  as  shown 
in  Fig.  29,  so  that  the  draftsman  can  see  the  drawing.  The 
outer  edge  is  divided  into  degrees  and  tenths  of  degrees.  Some- 
times the  graduations  are  very  fine.  In  using  a  protractor  a  very 
sharp  hard  pencil  should  be  used  so  that  the  lines  will  be  fine 
and  accurate. 

The  protractor  should  be  placed  so  that  the  given  line  (  pro- 


MECHANICAL    DRAWING. 


duced  if  necessary)  coincides  with  the  two  O  marks.  The 
center  of  the  circle  being  placed  at  the  point  through  which  the 
desired  line  is  to  be  drawn.  The  division  can  then  be  marked 
with  the  pencil  point  or  needle  point. 

Irregular  Curve,     One  of  the  conveniences  of  a  draftsman's 


outfit  is  the  French  or  irregular  curve.  It  is  made  of  wood, 
hard  rubber  or  celluloid,  the  last  named  material  being  the  best. 
It  is  made  in  various  shapes,  two  of  the  most  common  being 


Fig.  30. 

shown  in  Fig.  30.  This  instrument  is  used  for  drawing  curves 
other  than  arcs  of  circles,  and  both  pencil  and  line  pen  can  be 
used. 

To  draw  the  curve,  a  series  of  points  is  first  located  and 
then  the  curve  drawn  passing  through  them  by  using  the  part  of 
the  irregular  curve  that  passes  through  several  of  them.  The 


MECHANICAL     DRAWING. 


21 


curve  is  shifted  for  this  work  from  one  position  to  another.  It 
frequently  facilitates  the  work  and  improves  its  appearance  to* 
draw  a  free  hand  pencil  curve  through  the  points- and  then  use  the 
irregular  curve,  taking  care  that  it  always  fits  at  least  three  points. 
In  inking  the  curve,  the' blades  of  the  pen  must  be  kept 


Fig.  31. 

tangent    to  the  curve,  thus  necessitating  a  continual    change  of 
direction. 

Beam  Compasses.  The  ordinary  compasses  are  not  large 
enough  to  draw  circles  having  a  diameter  greater  than  about  8  or 
.10  inches.  A  convenient  instrument  for  larger  circles  is  fourfd 
in  the  beam  compasses  shown  in  Fig.  31.  The  two'  parts  called 
channels  carrying  the  pen  or  pencil  and  the  needle  point  are 
clamped  to  a  wooden  beam  ;  the  distance  between  them  being 
equal  to  the1  radius  of  the  circle.  Accurate  adjustment  is  obtained 
by  means  of  a  thumb  nut  underneath  one  of  the  channel  pieces. 

LETTERING. 

No  mechanical  drawing  is  finished  unless  all  headings,  titles 
aid  dimensions  are  lettered  in  plain,  neat  type.  Many  drawings 
are  accurate,  well-planned  and  finely  executed  but  do  not  present 
a  good  appearance  because  the  draftsman  did  not  think  it  worth 
while  to  letter  well.  Lettering  requires  time  and  patience; 
and  if  one  wishes  to  letter  rapidly  and  well  he  must  practice. 

Usually  a  beginner  cannot  letter  well,  and  in  order  to  pro- 
duce a  satisfactory  result,  considerable  practice  is  necessary.  Many 


29 


MECHANICAL     DRAWING. 


think  it  a  good  plan  to  practice  lettering  before  commencing  a 
drawing.  A  good  writer  does  not  always  letter  well  ;  a  poor 
writer  need  not  be  discouraged  and  think,  he  can  never  learn  to 
make  a  neatly  lettered  drawing. 

In  making  large  letters  for  titles  and  headings  it  is  often 
necessary  to  use  drawing  instruments  and  mechanical  aids.  The 
small  letters,  such  as  those  used  for  dimensions,  names  of  materials, 
dates,  etc.,  should  be  made  free  hand. 

There  are  many  styles  of  letters  used  by  draftsmen.  For 
titles,  large  Roman  capitals  are  frequently  used,  although  Gothic 
and  block  letters  also  look  well  and  are  much  easier  to  make. 

ABCDEFGHIJ 
KLMNOPQR 
STUVWXYZ 

1234567890 

Fig.  32. 

Almost  any  neat  letter  free  from  ornamentation  is  acceptable  in  the 
regular  practice  of  drafting.  Fig.  32  shows  the  alphabet  oi 
vertical  Gothic  capitals.  These  letters  are  neat,  plain  and  easily 
made.  The  inclined  or  italicized  Gothic  type  is  shown  in  Fig.  33. 
This  style  is  also  easy  to  construct,  and  possesses  the  advantage 
that  a  slight  difference  in  inclination  is  not  apparent.  If  the  ver- 
tical lines  of  the  vertical  letters  incline  slightly  the  inaccuracy  is 
very  noticeable. 

The  curves  of  the  inclined  Gothic  letters  such  as  those  in  the 
B,  CY,  6r,  e7,  etc.,  are  somewhat  difficult  to  make  free  hand, 
especially  if  the  letters  are  about  one-half  inch  high.  In  the 
alphabet  shown  in  Fig.  34,  the  letters  are  made  almost  wholly  of 


30 


MECHANICAL    DRAWING. 


straight  lines,  the  corners  only  being  curved.  These  letters  are 
very  easy  to  make  and  are  clear  cut. 

The  first  few  plates  of-  this  work  will  require  no  titles 3  the 
only  lettering  being  the  student's  name,  together  with  the  date 
and  plate  number.  Later,  the  student  will  take  up  the  subject  of 

A  BCDETGH/J 
KLMNOPQFt 
STUVWXYZ 

Fig.  33. 

lettering  again  in  order  to  letter  titles  and  headings  for  drawings 
showing  the  details  of  machines.  For  the  present,  however,  in- 
clined G.othic  capitals  will  be  used. 

To  make  the  inclined  Gothic  letters,  first  draw  two  parallel 
lines  having  the  distance  between  them  equal  to  the  desired  height 
of  the  letters.  If  two  sizes  of  letters  are  to  be  used,  the  smaller 
should  be  about  two-thirds  as  high  as  the  larger.  For  the  letters 

A  BCDETGH/JKLM 

NOPQR  S  TU  VWX  YZ 

/23456789O 

Fig.  34. 

to  be  used  on  the  first  plates,  draw  two  parallel  lines  ^  inch  apart. 
This  is  the  height  for  the  letters  of  the  date,  name,  also  the  plate 
number,  and  should  be  used  on  all  plates  throughout  this  work, 
unless  other  directions  are  given. 

In  constructing  the  letters,  they  should  extend  fully  to  these 
lines,  both  at  the  top  and  bottom.  They  should  not  fall  short  of 


31 


24  MECHANICAL     DRAWING. 

the  guide  lines  nor  extend  beyond  them.  As  these  letters  are 
inclined  they  will  look  better  if  the  inclination  is  the  same  for  all. 
As  an  aid  to  the  beginner,  he  can  draw  light  pencil  lines,  about  ^. 
inch  apart,  forming  the  proper  angle  with  the  parallel  lines  already 
drawn.  The  inclination  is  often  made  about  70  degrees;  but  as  a 
60-degree  triangle  is  at  hand,  it  may  be  used.  To  draw  these 
lines  place  the  60-degree  triangle  on  the  T-square  as  shown  in 
Fig.  36.  In  making  these  letters  the  60-degree  lines  will  be 
found  a  great  aid  as  a  large  proportion  of  the  back  or  side  lines 
have  this  inclination. 

Capital  letters  such  as  E,  F,  P,  T,  Z,  etc.,  should  have  the 
top  lines  coincide  with  the  upper  horizontal  guide  line.  The 
bottom  lines  of  such  letters  as  D,  E,  L,  Z,  etc.,  should  coincide 
with  the  lower  horizontal  guide  line.  If  these  lines  do  not  coin- 
cide with  the  guide  lines  the  words  will  look  uneven.  Letters, 
of  which  O,  Gr,  0,  and  Q,  are  types,  can  be  formed  of  curved  lines 
or  of  straight  lines.  If  made  of  curved  lines,  they  should  have  a 
little  greater  height  than  the  guide  lines  to  prevent  their  appear- 
ing smaller  than  the  other  letters.  In  this  work  they  can  be 
made  of  straight  lines  with  rounded  corners  as  they  are  easily 
constructed  and  the  student  can  make  all  letters  of  the  same 
height. 

To  construct  the  letter  A,  draw  a  line  at  an  angle  of  60 
degrees  to  the  horizontal  and  use  it  as  a  center  line.  Then  from 
the  intersection  of  this  line  and  the  upper  horizontal  line  drop 
a  vertical  line  to  the  lower  guide  line.  Draw  another  line  from 
the  vertex  meeting  the  lower  guide  line  at  the  same*  distance  from 
the  center  line.  The  cross  line  of  the  A  should  be  a  little  below 
the  center.  The  F"is  an  inverted  A  without  the  cross  line.  For 
the  letter  M,  the  side  lines  should  be  parallel  and  about  the  same 
distance  apart  as  are  the  horizontal  lines.  The  side  lines  of  the 
TFare  not  parallel  but  are  farther  apart  at  the  top.  The  Jis  uot 
quite  as  wide  as  such  letters  as  H,  E,  N,  R,  etc.  To  make  a  Y. 
draw  the  center  line  60  degrees  to  the  horizontal ;  the  diverg- 
ing lines  are  similar  to  those  of  the  V  but  are  shorter  and  form  a 
larger  angle.  The  diverging  lines  should  meet  the  center  line  a 
little  below  the  middle. 

The  lower-case  letters  are  shown  in  Fig.  35.     In. such  letters 


MECHANICAL     DRAWING.  25 

as  m,  n,  r,  etc.,  make  the  corners  sharp  and  not  rounding.  The 
letters  «,  &,  c,  e,  g,  0,  j9,  gs  should  be  full  and  rounding.  The 
figures  (see  Fig,  32)  are  made  as  in  writing  —  except  the  4i  6->& 
and  9. 

The  Roman  numerals  are  made  of  straight  lines  as  they 
are  largely  made  up  of  /,  F'and  X. 

At  first  the  copy  should  be  followed  closely  and  the  letters 
drawn  in  pencil.  For  a  time,  the  inclined  guide  lines  may  be  used. 

abcdefgh/jk/mn 
opqrs 

Fig.  35. 

but  after  the  proper  inclination  becomes  firmly  fixed  in.  mind 
they  should  be  abandoned.  The  horizontal  lines  are  used  at  all 
times  by  most  draftsmen.  After  the  student  has  had  consider- 
able practice,  he  can  construct  the  letters  in  ink  without  first  using 
the  pencil.  L'ater  in  the  work,  when  the  student  has  become  -pro- 
ficient in  the  simple  inclined  Gothic  capitals,  the  vertical,  block 
and  Roman  alphabets  should  be  studied. 

PLATES, 

To  lay  out  a  s'heet  of  paper  for  the  places  of  this  work,  the 
sheet,  A  B  G  F,  (Fig.  36)  is  placed  on  the  drawing  board  2  or  3 
inches  from  the  left-hand  edge  which  is  called  the  working  edge. 
If  placed  near  the  left-hand  edge,  the  T-square  and  triangles  can 
be  used  with  greater  firmness  and  the  horizontal  lines  drawn  with 
the  T-square  will  be  more  accurate.  In  placing  the  paper  on  the 
board,  always  true  it  up  according  to  the  long  edge  of  the  sheet. 
First  fasten  the  paper  to  the  board  with  thumb  tacks,  using  at 
least  4  —  one  at  each  corner.  If  the  paper  has  a  tendency  to  curl 
it  is  better  to  use  6  or  8  tacks,  placing  them  as  shown  in  Fig.  36. 
Thumb  tacks  are  commonly  used;  but  many  draftsmen  prefer 
one-ounce  tacks  as  they  offer  less  obstruction  to  the  T-square  and 
triangles. 

After  the  paper  is  fastened  in  position,  find  the  center  of  the 


33 


MECHANICAL     DRAWING. 


Fig.  36. 


MECHANICAL     DRAWING.  27 

sheet  by  placing  the  T-square  so  that  its  upper  edge  coincides  with 
the  diagonal  corners  A  and  G  and  then  with  the  corners  F  and 
B,  drawing  short  pencil  lines  intersecting  at  C.  Now  place  the 
T-square  so  that  its  upper  edge  coincides  with  the  point  C  and 
draw  the  dot  and  dash  line  D  E.  With  the  T-square  and  one 
of  the  triangles  (shown  dotted)  in  the  position  shown  in  Fig.  36, 
draw  the  dot  and  dash  line  H  C  K.  In  case  the  drawing  board 
is  large  enough,  the  line  C  H  can  be  drawn  by  moving  the  T- 
square  until  it  is  entirely  oft7  the  drawing.  If  the  board  is  small, 
produce  (extend)  the  line  K  C  to  II  by  means  of  the  T-square 
or  edge  of  a  triangle.  In  this  work  always  move  the  pencil  from 
the  left  to  the  right  or  from  the  bottom  upward ;  never  (except 
for  some  particular  purpose)  in  the  opposite  direction. 

After  the  center  lines  are  drawn  measure  off  5  inches  above 
and  below  th&  point  C  on  the  line  II  C  K.  These  points  L 
and  M  may  be  indicated  by  a  light  pencil  mark  or  by  a  slight 
puncture  of  one  of  the  points  of  the  dividers.  Now  place  the  T-- 
square against  the  left-hand  edge  of  the  board  and  draw  horizontal 
pencil  lines  through  L  and  M. 

Measure  off  7  inches  to  the  left  and  right  of  C  on  the  center 
line  D  C  E  and  draw  pencil  lines  through  these  points  (N  and 
P)  perpendicular  to  D  E.  We  now  have  a  rectangle  10  inches 
by  14  inches,  in  which  all  the  exercises  and  figures  are  to  be 
drawn.  The  lettering  of  the  student's  name  and  address,  date, 
and  plate  number  are  to  be  placed  outside  of  this  rectangle  in  the 
1-inch  margin/  In  all  cases  lay  out  the  plates  in  this  manner  and 
keep  the  center  lines  D  E  and  K  H  as  a  basis  for  the  various 
figures.  The  border  line  is  to  be  inked  with  a  heavy  line  when 
the  drawing  is  inked. 

Pencilling.  In  laying  out  plates,  all  work  is  first  done  in  pen- 
cil and  afterward  inked  or  traced  on  tracing  cloth.  The  first  few 
plates  of  this  course  are  to  be  done  in  pencil  and  then  inked  ;  later 
the  subject  .of  tracing  and  the  process  of  making  blue  prints  will 
be  taken  up.  Every  beginner  should  practice  with  his  instruments 
until  he  can  use  them  with  accuracy  and  skill,  and  until  he  under- 
stands thoroughly  what  instrument  should  be  used  for  making  a 
given  line.  To  aid  the  beginner  in  this  work,  the  first  three  plates 
of  this  course  are  designed  to  give  the  student  practice ;  they  do 


35 


28  MECHANICAL     DRAWING. 

/ 

not  involve  any  problems  and  none  of  the  work  is  difficult.  The 
student  is  strongly  advised  to'  draw  these  plates  two  or  three 
times  before 'making  the  one  to  be  sent  to  us  for  correction.  Dili- 
gent practice  is  necessary  at  first;  especially  on  PLATE  I as  it 
involves  an  exercise  in  lettering. 

PLATE  I. 

Pencilling.  To  draw  PLATE  J,  take  a  sheet  of  drawing 
paper  at  least  11  inches  by  15  inches  and  fasten  it  to  the  drawing 
board  as  already  explained.  Find  the  center  of  the  sheet  and  draw 
fine  pencil  lines  to  represent  the  lines  D  E  and  H  K  of  Fig.  36. 
Also  draw  the  border  lines  L,  M,  N  and  P. 

Now  measure  |  inch  above  and  below  the  horizontal  center  line 
and,  with  the  T-square,  draw  lines  through  these  points.  These 
lines  will  form  the  lower  lines  D  C  of  Figs.  1  and  2  and  the  top  lines 
A  B  of  Figs.  3  and  4-  Measure  |  inch  to  the  right  and  left  of  the 
vertical  center  line ;  and  through  these  points,  draw  lines  parallel 
to  the  center  line.  'These  lines  should  be  drawn  by  placing  the 
triangle  on  the  T-square  as  shown  in  Fig.  36.  The  lines  thus 
drawn,  form  the  sides  B  C  of  Figs.  1  and  3  and  the  sides  A  D  of 
Figs.  2  and  4.  Next  draw  the  line  A  BAB  with  the  T-square, 
4 1  inches  above  the  horizontal  center  line.  This  line  forms  the 
top  lines  of  Figs.  1  and  2.  Now  draw  the  line  D  C  D  C  4|  inches 
below  the  horizontal  center  line.  The  rectangles  of  the  four 
figures  are  completed  by  drawing  vertical  lines  6|  inches  from  the 
vertical  center  line.  We  now  have  four  rectangles  each  6  J  inches 
long  and  4J  inches  wide. 

Fig.  1  is  an  exercise  with  the  line  pen  and  T-square.  Divide 
the  line  A  D  into  divisions  each  \  inch  long,  making  a  fine  pencil 
point  or  slight  puncture  at  each  division  such  as  E,  F,  G,  H,  I,  etc. 
Now  place  the  T-square  with  the  head  at  the  left-hand  edge  of  the 
drawing  board  and  through  these  points  draw  light  pencil  lines 
extending  to  the  line  B  C.  In  drawing  these  lines  be  careful  to 
have  the  pencil  point  pass  exactly  through  the  division  marks  so 
that  the  lines  will  be  the  same  distance  apart.  Start  each  line  in 
the  line  A  D  and  do  not  fall  short  of  the  line  B  C  or  run  over  it. 
Accuracy  and  neatness  in  pencilling  insure  an  accurate  drawing. 
Some  beginners  think  that  they  can  correct  inaccuracies  while 


86 


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_5. , _!LL< n_ 

CD  O     !     £Q  _|5ZOQ-O-0:  D 


MECHANICAL     DRAWING. 


.    29 


inking;  but  experience  soon  teaches  them  that  they  cannot  do  so. 
Fig.  2  is  an  exercise  with  the  line  pen,  T-square  and  triangle. 
First  divide  the  lower  line  D  C  of  the  rectangle  into  divisions  each 
|  inch  long  and  mark  the  points  E,  F,  G,  H,  I,  J,  K,  etc.,  as  in 
Fig,  1.  Place  the  T-square  with  the  head  at  the  left-hand  edge  of 
the  drawing  board  and  the  upper  edge  in  about  the  position  shown 
in  Fig.  36.  Place  either  triangle  with  one  edge  on  the  upper  edge 
of  the  T-square  and  the  90-degree  angle  at  the  left.  Now  draw 
fine  pencil  lines  from  the  line  D  C  to  the  line  A  B  passing  .through 
the  points  E,  F,  G,  H.  I,  J,  K,  etc.  To  do  this  keep  the  T-square 


> 

G 
H 

J 

K 
L 
M 
N 
0 
p 
Q 
R 
S 
U 
V 

w 

' 

T 

/  /-  /  //j 

•  H/N(? 

THt-      KUHJ 

fJAlh'A  / 

A  M/CA  L 

. 

^Jf^CLJ 

H/Sf^/G 

ABCDfT 

/  2  3-4- 

/  //  ///   /V 

I 

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B 


Fig.  37. 

rigid  and  slide  the  triangle  toward  the  right,  being  careful  to  have 
the  edge  coincide  with  the  division  marks  in  succession. 

Fig.  3  is  an  exercise  with  the  line  pen,  T-square  and  45-degree 
triangle.  First  lay  off  the  distances  A  E,  E  F,  F  G,  G  H,  H  I,  IJ, 
J  K,  etc.,  each  J  inch  long.  Then  lay  off  the  distances  B  L,  L  M, 
M  N,  N  O,  O  P,  P  Q,  Q  R,  etc.,  also  1  inch  long.  Place  the  T- 
square  so  that  the  upper  edge  will  be  below-  the  line  D  C  of  Fig.  3. 
With  the  45-degree  triangle  draw  lines  from  A  D  and  D  C  to 
the  points  E,  F,  G,  H,  I,  J,  K,  etc.,  as  far  as  the  point  B.  Now 
draw  line's  from  D  C  to  the  points  L,  M,  N,  O,  P,  Q,  R,  etc.,  as 


80  MECHANICAL    DRAWING. 

far  as  the  point  C.  In  drawing  these  lines  move  the  pencil  away 
from  the  body,  that  is,  from  A  D  to  A  B  and  from  D  C  to  B  C. 
Fig.  4  is  an  exercise  in  free-hand  lettering.  The  finished, 
exercise,  with  all  guide  lines'  erased,  should  have  the  appearance 
shown  in  Fig.  fy  of  PLATE  I.  The  guide  lines  are  drawn  as  shown 
in  Fig.  37.  First  draw  the  center  line  E  F  and  light  pencil  lines 
Y  Z  and  T  X,  |  inch  from  the  border  lines.  Now,  with  the  T- 
s*quare,  draw  the  line  G,  ^  inch  from  the  top  line  and  the  line  H, 
/2  inch  below  G.  The  word  « LETTERING "  is  to  be  placed 
between  these  two  lines.  Draw  the  line  I,  -^  inch  below  H. 
The  lines  I,  J,  etc.,  to  K  are  all  •£%  inch  apart. 

We  now  practice  the  lower-case  letters.  Draw  the  line  L,  ^3g 
inch  below  K  and  a  light  line  J  .inch  above  L  to  limit  the 
height  of  the  small  letters.  The  space  between  L  and  M  is  g62- 
inch.  The  lines  M  and  N  are  drawn  in  the  same  manner  as  K  and 
L.  The  space  between  N  and  O  should  be  £  inch.  The  line  P  is 
drawn  fa  inch  below  O.  Q  is  also  g52  inch  below  P.  The  lines 
Q  and  R  are  drawn  -3§  inch  apart  as  are  M  and  N.  The  remainder 
of  the  lines  S,  U,  V  and  W  are  drawn  fa  inch  apart. 

The  center  line  is  a  great  aid  in  centering  the  word 
•4 LETTERING"  the  alphabets,  numerals,  etc.  The  words 
"THE"  and  "Proficiency"  should  be  indented  about  £ 
inch  as  they  are  the  first  words  of  paragraphs.  To  draw  the 
guide  lines,  mark  off  distances  of  ^  inch  on  any  line  such  as  J  and 
with  the  60-degree  triangle  draw  light  pencil  lines  cutting  the 
parallel  lines.  The  letters  should  be  sketched  in  pencil,  the  ordin- 
ary letters  such  as  E,  F,  H,  N,  R,  etc.  being  made  of  a  width 
equal  to  about  |  the  height.  Letters  like  A,  M  and  W  are  wider. 
The  space  between  the  letters  depends  upon  the  draftsman's 
taste  but  the  beginner  should  remember  that  letters  next  to  an 
A  or  an  L  should  be  placed  near  them  and  that  greater  space 
should  be  left  on  each  side  of  an  I  or  between  letters  whose  sides  are 
parallel;  for  instance  there  should  be  more  space  between  an  N  and 
\\  than  between  an  E  and  H.  On  account  of  the  space  above  the 
lower  line  of  the  L,  a  letter  following  an'L  should  be  close  to  it. 
[f  a  T  follows  a  T  or  the  letter  L  follows  an  L  they  should  be 
placed  near  together.  In  all  lettering  the  letters  should  be  placed 
so  that  the  general  e'ffect  is  pleasing.  After  the  four  figures  are 


40 


MECHANICAL    DRAWING.  bl 

completed,  the  lettering  for  name,  address  and  date  should  be 
pencilled.  With  the  T-square  draw  a  pencil  line  •£%  inch  above 
the  top  border  line  at  the  right-hand  end.  This  line  should  be 
about  3  inches  long.  At  a  distance  of  fa  inch  above  this  line  draw 
another  line  of  about  the  same  length.  These  are  the  guide  lines 
for  the  word  PLATE  L  The  letters  should  be  pencilled  free 
hand  and  the  student  may  use  the  60-degree  guide  lines  if  he 
desires. 

The  guide  lines  of  the  date,  name  and  address  are  similarly 
drawn  in  the  lower  margin.  The  date  of  completing  the  drawing 
should  be  placed  under  Fig.  3  and  the  name  and  address  at  the 
right  under  Fig.  4>  The  street  address  is  unnecessary.  It  is  a 
good  plan  to  draw  lines  ^  inch  apart  on  a  separate  sheet  of  paper 
and  pencil  the  letters  in  order  to  know  just  how  much  space  each 
word  will  require.  The  insertion  of  the  words  "  Fig.  1"  "  Fly. 
2"  etc.,  is  optional  with  the  student.  He  may  leave  thein  out  if  he 
desires  ;  but  we  would  advise  him  to  do  this  extra  lettering  for  the 
practice  and  for  convenience  in  reference.  First  draw  with  the 
T-square  two  parallel  line  •£%  inch  apart  under  each  exercise ;  the 
lower  line  being  -Jg  inch  above  the  horizontal  center  line  or  above 
the  lower  border  line. 

Inking.  After  all  of  the  pencilling  of  PLATE  I  has  been 
completed  the  exercises  should  be  inked.  The  pen  should  first  be 
examined  to  make  sure  that  the  nibs  are  clean,  of  the  same  length 
and  come  together  evenly.  To  fill  the  pen  with  ink  use  an  ordi- 
nary steel  pen  or  the  quill  in  the  bottle,  if  Higgin's  Ink  is  used. 
Dip  the  quill  or  pen  into  the  bottle  and  then  inside  between  the 
nibs  of  the  line  pen.  The  ink  will  readily  flow  from  the  quill  into 
the  space  between  the  nibs  as  soon  as  it  is  brought  in  contact.  Do 
not  fill  the  pen  too  full,  if  the  ink  fills  about  \  the  distance  to  the 
adjusting  screw  it  usually  will  be  sufficient.  If  the  filling  has  been 
carefully  done  it  will  not  be  necessary  to  wipe  the  outsides  of  the 
blades.  However,  any  ink  on  the  outside  should  be  wiped  off 
with  a  soft  cloth  or  a  piece  of  chamois. 

The  pen  should  now  be  tried  on  a  separate  piece  of  paper  in 
order  that  the  width  of  the  line  may  be  adjusted.  In  the  first 
work  where  no  shading  is  done,  a  firm  distinct  line  should  be  used. 
The  beginner  should  avoid  the  extremes :  a  very  light  line  makes 


41 


32  MECHANICAL     DRAWING. 

the  drawing  have  a  weak,  indistinct  appearance,  and  very  heavy 
lines  detract  from  the  artistic  appearance  and  make  the  drawing 
appear  heavy. 

In  case  the  ink  does  not  flow  freely,  wet  the  finger  and  touch 
it  to  the  end  of  the  pen.  If  it  then  fails  to  flow,  draw  a  slip  of 
thin  paper  between  the  nibs  (thus  removing  the  dried  ink)  or 
clean  thoroughly  and  fill.  Never  lay  the  pen  aside  without 
cleaning. 

In  ruling  with  the  line  pen  it  should  be  held  firmly  in  the 
right  hand  almost  perpendicular  to  the  paper.  If  grasped  too 
firmly  the  width  of  the  line  may  be  varied  and  the  draftsman 
soon  becomes  fatigued.  The  pen  is  usually  held  so  that  the 
adjusting  screw  is  away  from  the  T-square,  triangles,  etc.  Many 
draftsmen  incline  the  pen  slightly  in  the  direction  in  which  it  is 
moving. 

To  ink  Fig.  1,  place  the  T-square  with  the  head  at  the  work- 
ing edge  as  in  pencilling.  First  ink  all  of  the  horizontal  lines 
moving  the  T-square  from.A  to  D.  In  drawing  these  lines  con- 
siderable care  is  necessary ;  both  nibs  should  touch  the  paper  and 
the  pressure  should  be  uniform.  Have  sufficient  ink  in  the  pen 
to  finish  the  line  as  it  is  difficult  for  a  beginner  to  stop  in  the 
middle  of  the  line  and  after  refilling  the  pen  make  a  smooth  con- 
tinuous line.  While  inking  the  lines  A,  E,  F,  G,  H,  I,  etc.,  greater 
care  should  be  taken  in  starting  and  stopping  than  while  pencil- 
ling. Each  line  should  start  exactly  in  the  pencil  line  A  D  and 
stop  in  the  line  B  C.  The  lines  A  D  and  B  C  are  inked,  using 
the  triangle  and  T-square. 

Fig.  2  is  inked  in  the  same  manner  as  it  was  pencilled ;  the 
lines  being  drawn,  sliding  the  triangle  along  the  T-square  in  the 
successive  positions. 

In  inking  Fig.  3,  the  same  care  is  necessary  as  with  the  pre- 
ceding, and  after  the  oblique  lines  are  inked  the  border  lines  are 
finished.  In  Fig.  4  the  border  lines  should  be  inked  in  first 
and  then  the  border  lines  of  the  plate.  The  border  lines  should 
be  quite  heavy  as  they  give  the  plate  a  better  appearance.  The 
intersections  should  be  accurate,  as.  any  running  over  necessitates 
erasing. 

The  line  pen  may  now  be  cleaned  and  laid  aside.     It  can  be 


MECHANICAL    DRAWING.  33 

cleaned  by  drawing  a  strip  of  blotting  paper  between  the  nibs  or 
by  means  of  a  piece  of  cloth  or  chamois.  The  lettering  should  be 
done  free-hand  using  a  steel  pen.  If  the  pen  is  very  fine,  accu- 
rate work  may  be  done  but  the  pen  is  likely  to  catch  in  the  paper, 
especially  if  the  paper  is  rough.  A  coarser  pen  will  make  broader 
lines  but  is  on  the  whole  preferable.  Gillott's  404  is  as  fine  a 
pen  as  should  be  used.  After  inking  Fig.  4,  the  plate  number, 
date  and  name  should  be  inked,  also  free-hand.  After  ink- 
ing the  words  "  Fig.  1"  "  Fig.  2"  etc.,  all  pencil  lines  should 
be  erased.  In  the  finished  drawing  there  should  be  no  center 
lines,  construction  lines  or  letters  other  than  those  in  the 
name,  date,  etc. 

The  sheet  should  be  cut  to  a  size  of  n  inches  by  15  inches, 
the  dash  line  outside  the  border  line  of  PLATE  /indicating  the 
edge. 

PLATE  II. 

Pencilling.  The  drawing  paper  used  for  PLATE  //should 
be  laid  out  as  described  with  PLATE  I,  that  is,  the  border  lines, 
center  line  and  rectangles  for  Figs.  1  and  2.  To  lay  out  Figs.  3, 
Jj,  and  5  proceed  as  follows  :  Draw  a  line  with  the  T-square 
parallel  to  the  horizontal  center  line  and  |  inch  below  it.  Also 
draw  another  similar  line  44  below  the  center  line.  The  two  lines 

o 

will  form  the  top  and  bottom  of  Figs.  3,  4-  and  5.  Now  measure 
off  2^  inches  on  either  side  of  the  center  on  the  horizontal  center 
line  and  call  the  points  Y  and  Z.  On  either  side  of  Y  and  Z  and 
at  a  distance  of  ^  inch  draw  vertical  parallel  lines.  Now  draw  a 
vertical  line  A  D,  4^  inches  from  the  line  Y  and  a  vertical  line 
B  C  4|  inches  from  the  line  Z.  We  now  have  three  rectangles 
each.  4  inches  broad  and  4|  inches  high.  Figs.  1  and  2  are  pen- 
cilled in  exactly  the  same  way  as  was  Fig.  1  of  PLATE  /,  that 
is,  horizontal  lines  are  drawn  A  inch  apart. 

Fig.  3  is  an  exercise  to  show  the  use  of  a  60-degree  triangle 
with  a  T-square.  Lay  off  the  distances  A  E,  E  F,  F  G,  G  H,  etc. 
to  B  each  ^  inch.  With  the  60  degree  triangle  resting  on  the 
upper  edge  of  the  T-square,  draw  lines  through  these  points,  E,  F, 
G,  H,  I,  J,  etc.,  forming  an  angle  of  30  degrees  with  the  hori- 
zontal. The  last  line  drawn  will  be  A  L.  In  drawing  these  lines 
move  the  pencil  from  A  B  to  B  C.  Now  find  the  distance 


45 


34  MECHANICAL     DRAWING. 

between  the  lines  on  the  vertical  B  L  and  mark  off  these  distances 
on  the  line  B  C  commencing  at  L.  Continue  the  lines  from  A  L 
to  N  C.  Commencing  at  N  mark  off  distances  on  A  D  equal 
to  those  on  B  C  and  finish  drawing  the  oblique  lines. 

Fig.  4-  is  an  exercise  for  intersection.  Lay  off  distances  of 
£  inch  on  A  B  and  A  D.  With  the  T-square  draw  fine  pencil 
lines  through  the  points  E,  F,  G,  H,  I,  etc.,  and  with  the  T-square 
and  triangle  draw  vertical  lines  through  the  points  L,  M,  N,  O,  P, 
etc.  In  drawing  this  figure  draw  every  line  exactly  through  the 
points  indicated  as  the  sjrm metrical  appearance  of  the  small 
squares  can  be  attained  only  by  accurate  pencilling. 

The  oblique  lines  in  Fig.  5  form  an  angle  of  60  degrees  with 
the  horizontal.  As  in  Figs.  3  and  4  mark  off  the  line  A  B  in 
divisions  of  ^  inch  and  draw  with  the  T-square  and  60-degree 
triangle  the  oblique  lines  through  these  points  of  division  movfng 
the  pencil  from  A  B  to  B  C.  The  last  line  thus  drawn  will  be 
A  L.  Now  mark  off  distances  of  ^  inch  on  C  D  beginning  at  L. 
The  lines  may  now  be  finished. 

Inking.  Fig.  1  is  designed  to  give  the  beginner  practice  in 
drawing  lines  of  varying  widths.  The  line  E  is  first  drawn.  This 
line  should  be  rather  fine  but  should  be  clear  and  distinct.  The 
line  F  should  be  a  little  wider  than  E ;  the  greater  width  being 
obtained  by  turning  the  adjusting  screw  from  one-quarter  to  one- 
half  a  turn.  The  lines  G,  H,  I,  etc.,  are  drawn ;  each  successive 
line  having  greater  width.  M  and  N  should  be  the  same  and 
quite  heavy.  From  N  to  D  the  lines  should  decrease  in  width. 
To  complete  the  inking  of  Fig.  1,  draw  the  border  lines.  These 
lines  should  have  about  the  same  width  as  those  in  PLATE  L 

In  Fig.  2  the  first  four  lines  should  be  dotted.  The  dots  should 
be  uniform  in  length  (about  -J^  inch)  and  the  spaces  also  uniform 
(about  .gig-  inch).  The  next  four  lines  are  dash  lines  similar  to 
those  used  for  dimensions.  These  lines  should  be  drawn  with 
dashes  about  |  inch  long  and  the  lines  should  be  fine,  yet  distinct. 

The  following  four  lines  are  called  dot  and  dash  lines.  The 
dashes  are  about  |  inch  long  and  a  dot  between  as  shown.  In 
the  regular  practice  of  drafting  the  length  of  the  dashes  depends 
upon  the  size  of  the  drawing  —  i  inch  to  1  inch  being  common. 
The  last  four  lines  are  similar,  two  dots  being  used  between  the 


46 


MECHANICAL     DRAWING.  35 

i 

dashes.     After  completing  the  dot  and  dash  lines,  draw  the  border 
lines  of  the  rectangle  as  before. 

In  inking  Fig.  3,  the  pencil  lines  are  followed.  Great  care 
should  be  exercised  in  starting  and  stopping.  The  lines  should 
begin  in  the  border  lines  and  the  end  should  not  run  over. 

The  lines  of  Fig.  4-  must  be  drawn  carefully,  as  there  are  so 
many  intersections.  The  lines  in  this  figure  should  be  lighter  than 
the  border  lines.  If  every  line  does  not  coincide  with  the  points 
of  division  L,  M,  N,  O,  P,  etc.,  some  will  appear  farther  apart 
than  others. 

Fig.  5  is  similar  to  Fig.  3,  the  only  difference  being  in  the 
angle  which  the  oblique  lines  make  with  the  horizontal. 

After  completing  the  five  figures  draw  the  border  lines  of  the 
plate  and  then  letter  the  plate  number,  date  and  name,  and  the 
figure  numbers,  as  in  PLATE  L  The  plate  should  then  be 
cut  to  the  required  size,  n  inches  by  15  inches. 

PLATE  III. 

Pencilling.  The  horizontal  and  vertical  center  lines  and  the 
border  lines  for  PLATE  III  are  laid  out  in  the  same  manner  as 
were  those  of  PLATE  II.  To  draw  the  squares  fo'r  the  six  figures, 
proceed  as  follows  : 

Measure  off  two  inches  on  either  side  of  the  vertical  center 
line  and  draw  light  pencil  lines  through  these  points  parallel  to 
the  vertical  center  line.  These  lines  will  form  the  sides  A  D  and 
B  C  of  Figs.  2  and  5.  Parallel  to  these  lines  and  at  a  distance  of 
|  inch  draw  similar  lines  to  form  the  sides  B  C  of  Figs.  1  and  4 
and  A  D  of  Figs.  3  and  6.  The  vertical  sides  A  D  of  Figs.  1  and 
4  and  B  C  of  Figs.  3  and  6  are  formed  by  drawing  lines  perpen- 
dicular to  the  horizontal  center  line  at  a  distance  of  6|-  inches  from 
the  center. 

The  horizontal  sides  D  C  of  Figs.  1,  2  and  3  are  drawn  with 
the  T-square  ^  inch  above  the  horizontal  center  line.  To  draw  the 
top  lines  of  these  figures,  draw  (with  the  T-square)  a  line  41-  inches 
above  the.  horizontal  center  line.  The  top  lines  of  Figs.  £,  5  and 
6  are  drawn  |  inch  below  the  horizontal  center  line.  The  squares 
are  completed  by  drawing  the  lower  lines  D  C,  4|  inches  below 
the  horizontal  center  line.  The  figures  of  PLATES  I  and  H 


47 


MECHANICAL    DRAWING. 


were  constructed  in  rectangles ;  the  exercises  of  PL  A  TE  III  are, 
however,  drawn  in  squares,  having  the  sides  4  inches  long. 

In  drawing  Fig.  J?,  first  divide  A  D  and  A  B  (or  D  C )  into 
4  equal  parts.  As  these  lines  are  four  inches  long,  each  length  will 
be  1  inch.  Now  draw  horizontal  lines  through  E,  F  and  G  and 
vertical  lines  through  L,  M  and  N.  These  lines  are  shown  dotted 
in  Fig.  1.  Connect  A  and  B  with  the  intersection  of  lines  E 
and  M,  and  A  and  D  with  the  intersection  of  lines  F  and  L. 
Similarly  draw  D  J,  J  C,  I  B  and  I  C.  Also  connect  the  points  P, 
O,  I  and  J  forming  a  square.  The  four  diamond  shaped  areas 
are  formed  by  drawing  lines  from  the  middle  points  of  A  D,  A  B, 
B  C  and  DC  to  the  middle  points  of  lines  A  P,  A  O,  O  B,  I  B 
etc.,  as  shown  in  Fig.  1. 

Fig.  %  is  an  exercise  of  straight  lines.  Divide  A  D  and  A  B 
into  four  equal  parts  and  draw  horizontal  and  vertical  lines  as  in 
Fig.  1.  Now  divide  these  dimensions,  A  L,  M  N,  etc.  and  E  F, 
G  B  etc.  into  four  equal  parts  ( each  £  inch  ) .  Draw  light 
pencil  lines  with  the  T-square  and  triangle  as  shown  in  Fig.  2. 

In  Fig.  3,  divide  A  B  and  A  D  into  eight  parts,  each  length 
being  -j-  inch.  Through  the  points  H,  I,  J,  K,  L,  M  and  N  draw 
vertical  lines  with  the  triangle.  Through  O,  P,  Q,  R,  S,  T  and  U 
draw  horizontal  lines  with  the  T-square.  Now  draw  lines  con- 
necting O  and  H,  P  and  I,  Q  and  J,  etc.  These  lines  can  be 
drawn  with  the  45-degree  triangle,  as  they  form  an  angle  of  45 
degrees  with  the  horizontal.  Starting  at  N  draw  lines  from  A  B 
to  B  C  at  an  angle  of  45  degrees.  Also  draw  lines  from  A  D  to 
D  C  through  the  points  O,  P,  Q,  R,  etc.,  forming  angles  of  45 
degrees  with  D  C. 

Fig.  4-  ig  drawn  with  the  compasses.  First  draw  the  diagonals 
A  C  and  D  B.  With  the  T-square  draw  the  line  E  H.  Now 
mark  off  on  E  H  distances  of  ^  inch.  With  the  compasses  set  so 
that  the  point  of  the  lead  is  2  inches  from  the  needle  point,  de- 
scribe the  circle  passing  through  E.  With  H  as  a  center  draw 
the  arcs  F  G  and  I  J  having  a  radius  of  1|  inches.  In  drawing 
these  arcs  be  careful  not  to  go  beyond  the  diagonals,  but  stop  at 
the  points  F  and  G  and  I  and  J.  Again  with  H  as  the  center 
and  a  radius  of  li  inches  draw  a  circle.  The  arcs  K  L  and  M  N 
are  drawn  in  the  same  manner  as  were  arcs  F  G  and  I  J ;  the 


48 


MECHANICAL    DRAWING.  37 

radius  being  1^  inches.     Now  draw  circles,  with  H  as  the  center, 
of  1,  |,  \  and  ^  inch  radius,  passing  through  the  points  P,  T,  etc. 

Fig.  5  is  an  exercise  with  the  line  pen  and  compasses.  First 
draw  the  diagonals  A  C  and  D  B,  the  horizontal  line  L  M  and  the 
vertical  line  E  F  passing  through  the  center  Q.  Mark  off  dis- 
tances of  |-  inch  on  L  M  and  E  F  and  draw  the  lines  N  N'  O  O' 
and  N  R,  O  S,  etc.,  through  these  points,  forming  the  squares 
N  R  R'  N ',  O  S  S'  O',  etc.  With  the  bow  pencil  adjusted  so 
that  the  distance  between  the  pencil  point  and  the  needle  point  is 
|-  inch  draw  the  arcs  having  centers  at  the  corners  of  the  squares. 
The  arc  whose  center  is  N  will  be  tangent  to  the  lines  A  L  and 
A  E  and  the  arc  whose  center  is  O  will  be  tangent  to  N  N'  and 
N  R.  Since  P  T,  T  T',  T'  P'  and  P'  P  are  each  1  inch  long  and 
form  the  square,  the  arcs*  drawn  with  Q  as  a  center  will  form  a 
circle. 

To  draw  Fig.  0,  first  draw  the  center  lines  E  F  and  L  M. 
Now  find  the  centers  of  the  small  squares  ALIE,  LBFI  etc. 
Through  the  center  I  draw  the  construction  lines  HIT  and 
RIP  forming  angles  of  30  degrees  with  the  horizontal.  Now 
adjust  the  compasses  to  draw  circles  having  a  radius  of  one  inch. 
With  I  as  a  center,  draw  the  circle  H  P  T  R.  With  the  same 
radius  ( one  inch  )  draw  the  arcs  with  centers  at  A,  B,  C  and 
D.  Also  draw  the  semi-circles  with  centers  at  L,  F,  M  and  E. 
Now  draw  the  arcs  as  shown  having  centers  at  the  centers  of  the 
small  squares  A  L  I  E,  L  B  F  I,  etc.  To  locate  the  centers  of 
the  six  small  circles  within  the  circle  H  P  T  R,  draw  a  circle 
with  a  radius  of  i-J  inch  and  having  the  center  in  I.  The  small 
circles  have  a  radius  of  -^  inch. 

Inking.  In  inking  this  plate,  the  outlines  of  the  squares  of 
the  various  figures  are  inked  only  in  Figs.  2  and  3.  In  Fig.  1  the 
only  lines  to  be  inked  are  those  shown  in  full  lines  in  PLATE 
III.  First  ink  the  star  and  then  the  square  and  diamonds.  Tha 
cross  hatching  should  be  done  without  measuring  the  distance  be- 
tween the  lines  and  without  the  aid  of  any  cross  hatching  device 
as  this  is  an  exercise  for  practice.  The  lines  should  be  about  ^ 
inch  apart.  After  inking  erase  all  construction  lines. 

In  inking  Fig.  2  be  careful  not  to  run  over  lines.  Each 
line  should  coincide  with  the  pencil  line.  The  student  should 


51 


38  MECPIANICAL  DRAWING. 

first  ink  the  horizontal  lines  L,  M  and  JS"  and  the  vertical  lines 
E,  F  and  G.  The  short  lines  should  have  the  same  width 
but  the  border  lines,  A  B,  B  C,  C  D  and  D  A  should  be  a 
little  heavier. 

Fig.  3  is  drawn  entirely  with  the  45-degreo  triangle.  In  ink- 
ing the  oblique  lines  make  P  I,  R  K,  T  M,  etc.,  a  light  distinct 
line.  The  alternate  lines  O  H,  Q  J,  S  L,  etc.,  should  be  some- 
what heavier.  All  of  the  lines  which  slope  in  the  opposite  direc- 
tion are  light.  After  inking  Fig.  3  all  horizontal  and  vertical 
lines  (except  the  border  lines)  should  be  erased.  The  border 
lines  should  be  slightly  heavier  than  the  light  oblique  lines. 

The  only  instrument  used  in  inking  Fig.  4  is  the  compasses. 
In  doing  this  exercise  adjust  the  legs  of  the  compasses  so  that  the 
pen  will  always  be  perpendicular  to  the  paper.  If  this  is  not 
done  both  nibs  will  not  touch  the  paper  and  the  line  will  be  ragged. 
In  inking  the  arcs,  see -that  the  pen  stops  exactly  at  the  diagonals. 
The  circle  passing  through  T  and  the  small  inner  circle  should  be 
dotted  as  shown  in  PLATE  III.  After  inking  the  circles  and 
arcs  erase  the  construction  lines  that  are  without  the  outer  circles 
but  leave  vs.  pencil  the  diagonals  inside  the  circle. 

In  Fig.  5  draw  all  arcs  first  and  then  draw  the  straight  lines 
meeting  these  arcs.  It  is  much  easier  to  draw  straight  lines  meet- 
ing arcs,  or  tangent  to  them,  than  to  make  the  arcs  tangent  to 
straight  lines.  As  this  exercise  is  difficult,  and  in  all  mechanical 
and  machine  drawing  arcs  and  tangents  are  frequently  used  we 
advise  the  beginner  to  draw  this  exercise  several  times.  Leave 
all  construction  lines  in  pencil. 

Fig.  6,  like  Fig.  4,  is  an  exercise  with  compasses.  If  Fig.  6 
has  been  laid  out  accurately  in  pencil,  the  inked  arcs  will  be  tan- 
gent to  each  other  and  the  finished  exercise  will  have  a  good 
appearance.  If,  however,  the  distances  were  not  accurately 
measured  arid  the  lines  carefully  drawn  the  inked  arcs  will  not  be 
tangent.  The  arcs  whose  centers  are  L,  F,  M  and  E  and  A,  B,  C 
and  D  should  be  heavier  than  the  rest.  The  small  circles  may  be 
drawn  with  the  bow  pen.  After  inking  the  arcs  all  construction 
lines  should  be  erased. 


ALBANI 


-PANTHEON* 


MECHANICAL  DRAWING. 

PART     II. 
GEOflETRICAL  DEFINITIONS. 

A  point  is  used  for  marking  position  ;  it  has  neither  length 
breadth  nor  thickness. 

A  line  has  length  only;  it  is  produced  by  the  motion  of  a 
point. 

A  straight  line  or  right  line  is  one  that  has  the  same  direction 
throughout.  It  is  the  shortest  distance  between  any  two  of  its 
points. 

A  curved  line  is  one  that  is  constantly  changing  in  direction. 
It  is  sometimes  called  a  curve. 

A  *broken  line  is  one  made  up  of  several  straight  lines. 

Parallel  lines  are  equally  distant  from  each  other  at  all 
points. 

A  horizontal  line  is  one  having  the  direction  of  a  liae  drawn 
upon  the  surface  of  water  that  is  at  rest.  It  is  a  line  parallel  to 
the  horizon. 

A  vertical  line  is  one  that  lies  in  the  direction  of  a  thread 
suspended  from  its  upper  end  and  having  a  weight  at  the  lower 
end.  It  is  a  line  that  is  perpendicular  to  a  horizontal  plane. 

Lines  are  perpendicular  to  each  other,  if  when  they  cross, 
the  four  angles  formed  are  equal.  If  they  meet  and  form  two 
equal  angles  they  are  perpendicular. 

An  oblique  line  is  one  that  is  neither  vertical  nor  horizontal. 

In  Mechanical  Drawing,  lines  drawn  along  the  edge  of  the 
T  square,  when  the  head  of  the  T  square  is  resting  against  the 
left-hand  edge  of  the  board,  are  called  horizontal  lines.  Those 
drawn  at  right  angles  or  perpendicular  to  the  edge  of  the  T  square 
are  called  vertical. 

If  two  lines  cut  each  other,  they  are  called  intersecting  lines, 
and  the  point  at  which  they  cross  is  called  the  point  of  intersection. 


55 


MECHANICAL  DRAWING. 


ANGLES. 

An  angle  is  formed  when  two  straight  lines  meet.  An  angle 
is  often  denned  as  being  the  difference  hi  direction  of  two  straight 
lines.  The  lines  are  called  the  sides  and  the  point  of  meeting  is 
called  the  vertex.  The  size  of  an  angle  depends  upon  the  amount 
of  divergence  of  the  sides  and  is  independent  of  the  length  of 
these  lines. 


RIGHT    ANGLE.  ACUTE  ANGLE.  OBTUSE  ANGLE. 

If  one  straight  line  meet  another  and  the  angles  thus  formed 
axe  equal  they  are  right  angles.  When  two  lines  are  perpendic- 
ular to  each  other  the  angles  formed  are  right  angles. 

An  acute  angle  is  less  than  a  right  angle. 

An  obtuse  angle  is  greater  than  a  right  angle. 

SURFACES. 

A  surface  is  produced  by  the  motion  of  a  line;  it  has  two 
dimensions, — length  and  breadth. 

A  plane  figure  is  a  plane  bounded  on  all  sides  by  lines ;  the 
space  included  within  these  lines  (if  they  are  straight  lines)  is 
called  a  polygon  or  a  rectilinear  figure. 

TRIANGLES. 

A  triangle  is  a  figure  enclosed  by  three  straight  lines.  It  is 
a  polygon  of  three  sides.  The  bounding  lines  are  the  sides,  and 
the  points  of  intersection  of  the  sides  are  the  vertices.  The  angles 
of  a  triangle  are  the  angles  formed  by  the  sides. 

A  right-angled  triangle,  often  called  a  riglit  triangle,  is  one 
that  has  a  right  angle. 

An  acute=angled  triangle  is  one  that  has  all  of  its  angles  acute. 

An  obtuse=angled  triangle  is  one  that  has  an  obtuse  angle. 

In  an  equilaterai  triangle  all  of  the  sides  are  equal. 


56 


MECHANICAL  DRAWING. 


If  all  of  the  angles  of  a  triangle  are  equal,  the  figure  is  called 
an  equiangular  triangle. 

A  triangle  is  called  scalene,  when  no  two  of  its  sides  are 
equal. 

In  an  isosceles  triangle  two  of  the  sides  are  equal. 


RIGHT  ANGLED  TRIANGLE.      ACUTE  ANGLED  TRIANGLE.        OBTUSE  ANGLED  TRIANGLE. 

The  base  of  a  triangle  is  the  lowest  side  ;  however,  any  side 
may  be  taken  as  the  base.  In  an  isosceles  triangle  the  «ide  which 
is  not  one  of  the  equal  sides  is  usually  considered  the  base. 

The  altitude  of  a  triangle  is  the  perpendicular  drawn  from 
the  vertex  to  the  base. 


EQUILATERAL  TRIANGLE.  ISOSCELES   TRIANGLE. 


SCALENE  TRIANGLE. 


QUADRILATERALS. 

A  quadrilateral  is  a  plane  figure  bounded  by  four  straight 
lines. 

The  diagonal  of  a  quadrilateral  is  a  straight  line  joining  two 
opposite  vertices. 


QUADRILATERAL. 


TRAPEZOID. 


PARALLELOGRAM. 


A  trapezium  is  a  quadrilateral,  no  two  of  whose  sides  are 
parallel. 

A  trapezoid  is  a  quadrilateral  having  two  sides  parallel. 


57 


MECHANICAL  DRAWING. 


The  bases  of  a  trapezoid  are  its  parallel  sides.  The  altitude 
is  the  perpendicular  distance  between  the  bases. 

A  parallelogram  is  a  quadrilateral  whose  opposite  sides  are 
parallel. 

The  altitude  of  a  parallelogram  is  the  perpendicular  distance 
between  the  bases  which  are  the  parallel  sides. 

There  are  four  kinds  of  parallelograms: 


RECTANOLE. 


RHOMBUS. 


right 


A  rectangle  is  a  parallelogram,  all  of  whose  angles  are 
angles.     The  opposite  sides  are  equal. 

A  square  is  a  rectangle,  all  of  whose  sides  are  equal. 

A  rhombus  is  a  parallelogram  which  has  four  equal  sides; 
but  the  angles  are  not  right  angles. 

A   rhomboid    is   a  parallelogram  whose  adjacent   sides   are 
anequal ;  the  angles  are  not  right  angles. 

POLYGONS. 

A  polygon  is  a  plane  figure  bounded  by  straight  lines. 
The  boundary  lines  are  called  the  sides  and  the  sum  of  the 
sides  is  called  the  perimeter. 

Polygons  are  classified  according  to  the  number  of  sides. 

A  triangle  is  a  polygon  of  three  sides. 

A  quadrilateral  is  a  polygon  of  four  sides. 

A  pentagon  is  a  polygon  of  five  sides. 

A  hexagon  is  a  polygon  of  six  sides. 

A  heptagon  is  a  polygon  of  seven  sides. 

An  octagon  is  a  polygon  of  eight  sides. 

A  decagon  is  a  polygon  of  ten  sides. 

A  dodecagon  is  a  polygon  of  twelve  sides. 
An  equilateral  polygon  is  one  all  of  whose  sides  are  equal. 
An  equiangular  polygon  is  one  all  of  whose  angles  are  equal. 
A  regular  polygon  is  one  all  of  whose  angles  are  equal  and  all 
•?f  whose  sides  are  equal. 


58 


MECHANICAL  DRAWING. 


7 


CIRCLES. 

A  circle  is  a  plane  figure  bounded  by  a  curved  line,  every  point 
of  which  is  equally  distant  from  a  point  within  called  the  center. 

The  curve  which  bounds  the  circle  is  called  the  circumference 
Any  portion  of  the  circumference  is  called  an  arc. 

The  diameter  of  a  circle  is  a  straight  line  drawn  through  the 
center  and  terminating  in  the  circumference.  A  radius  is  a 
straight  line  joining  the  center  with  the  circumference.  It  has  a 
length  equal  to  ore  half  the  diameter.  All  radii  (plural  of 
radius)  are  equal  and  all  diameters  are  equal  since  a  diameter 
equals  two  radii. 


OCTAGON. 


An  arc  equal  to  one-half  the  circumference  is  called  a  semi- 
circumference,  and  an  arc  equal  to  one-quarter  of  the  circumfer- 
ence is-  called  a  quadrant.  A  quadrant  may  mean  the  sector,  arc 
or  angle. 

A  chord  is  a  straight  line  joining  the  extremities  of  an  arc. 
It  is  a  line  drawn  across  a  circle  that  does  not  pass  through  the 
center. 

A  secant  is  a  straight  line  which  intersects  the  circumference 
in  two  points. 


A  tangent  is  a  straight  line  which  touches  the  circumference 
at  only  one  point.  It  does  not  intersect  the  circumference.  The 
point  at  which  the  tangent  touches  the  circumference  is  called  the 
point  of  tangency  or  point  of  contact. 


59 


MECHANICAL  DRAWING. 


A  sector  of  a  circle  is  the  portion  or  area  included  between 
an  arc  and  two  radii  drawn  to  the  extremities  of  the  arc. 

A  segment  of  a  circle  is  the  area  included  between  an  arc 
and  its  chord. 

Circles  are  tangent  when  the  circumferences  touch  at  only 
one  point  and  are  concentric  when  they  have  the  same  center. 


CONCENTRIC   CIRCLES. 


INSCRIBED   POLYGON 


An  inscribed  angle  is  an  angle  whose  vertex  lies  in  the  cir- 
cumference and  whose  sides  are  chords.  It  is  measured  by  one- 
half  the  intercepted  arc. 

A  central  angle  is  an  angle  whose  vertex  is  at  the  center  of 
the  circle  and  whose  sides  are  radii. 


CENTRAL. 
BANGLE. 


An  inscribed  polygon  is  one  whose  vertices  lie  in  the  circum- 
ference and  whose  sides  are  chords. 


MEASUREHENT  OF  ANGLES. 

To  measure  an  angle  describe  an  arc  with  the  center  at  the 
vertex  of  the  angle  and  having  any  convenient  radius.  The  por- 
tion of  the  arc  included  between  the  sides  of  the  angle  is  the 
measure  of  the  angle.  If  the  arc  has  a  constant  radius  the  greater 
the  divergence  of  the  sides,  the  longer  will  be  the  arc.  If  there 
are  several  arcs  drawn  with  the  same  center,  the  intercepted  arcs 
will  have  different  lengths  but  they  will  all  be  the  same  fraction 
of  the  entire  circumference. 

In  order  that  the  size  of  an  angle  or  arc  may  be  stated  with- 


MECHANICAL  DRAWING. 


tnx  90    76 


out  saying  that  it  is  a  certain  fraction  of  a  circumference,  the  cir- 
cumference is  divided  into  360 
equal  parts  called  degrees.  Thus 
we  can  say  that  an  angle  contains 
45  degrees,  which  means  that  it  is 
•g^-Q  —  |  of  a  circumference.  In 
order  to  obtain  accurate  measure- 
ments each  degree  is  divided  into 
60  equal  parts  called  minutes  and 
each  minute  is  divided  into  60  equal 
parts  called  seconds.  Angles  and 


arcs  are  usually  measured  by  means  of  an  instrument  called  a 
protractor  which  has  already  been  explained. 

SOLIDS. 

A  polyedron  is  a  solid  bounded  by  planes.  The  bounding 
planes  are  called  the  faces  and  their  intersections  edges.  The 
intersections  of  the  edges  are  called  vertices. 

A  polygon  having  four  faces  is  called  a  tetraedron ;  one  having 
six  faces  a  hexaedron ;  of  eight  faces  an  octaedron;  of  twelve 
faces  a  dodecaedron,  etc. 


RIGHT   PRISM. 


TRUNCATED    PRISM. 


A  prism  is  a  polyedron,  of  which  two  opposite  faces,  called 
bases,  are  equal  and  parallel ;  the  other  faces,  called  lateral  faces 
are  parallelograms. 

The  area  of  the  lateral  faces  is  called  the  lateral  area. 

The  altitude  of  a  prism  is  the  perpendicular  distance  between 
the  bases. 

Prisms  are  triangular,  quadrangular,  etc.,  according  to  the 
shape  of  the  base. 

A  right  prism  is  one  whose  lateral  edges  are  perpendicular 
to  the  bases. 


Gl 


10 


MECHANICAL  DRAWING. 


A  regular  prism  is  a  right  prism  having  regular  polygons  for 
bases. 

A  parallelepiped  is  a  prism  whose  bases  are  parallelograms. 
If  the  edges  are  all  perpendicular  to  the  bases  it  is  called  a  right 
parallelepiped. 

A  rectangular  parallelepiped  is  a  right  parallelepiped  whose 
bases  are  rectangles  ;  all  the  faces  are  rectangles. 


PARALLELOPIPED. 


RECTANGULAR  PARALLELOPIPED. 


OCTAEDRON. 


A  cube  is  a  rectangular  parallelepiped  all  of  whose  faces  are 
squares. 

A  truncated  prism  is  the  portion  of  a  prism  included  between 
the  base  and  a  plane  not  parallel  to  the  base. 

PYRAMIDS. 

A  pyramid  is  a  polyedron  one  face  of  which  is  a  polygon 
(called  the  base)  and  the  other  faces  are  triangles  having  a  com- 
mon vertex. 


REGULAR  PYRAMID. 


FRUSTUM  OF  PYRAMID. 


The  vertices  of  the  triangles  form  the  vertex  of  the  pyramid. 

The  altitude  of  the  pyramid  is  the  perpendicular  distance 
from  the  vertex  to  the  base. 

A  pyramid  is  called  triangular,  quadrangular,  etc.,  accord- 
ing- to  the  shape  of  the  base. 

A  regular  pyramid  is  one  whose  base  is  a  regular  polygon 


62 


MECHANICAL  DRAWING. 


11 


and  whose  vertex  lies  in  the  perpendicular  erected  at  the  center 
of  the  base. 

A  truncated  pyramid  is  the  portion  of  a  pyramid  included 
between  the  base  and  a  plane  not  parallel  to  the  base. 

A  frustum  of  a  pyramid  is  the  solid  included  between  the 
base  and  a  plane  parallel  to  the  base. 

The  altitude  of  a  frustum  of  a  pyramid  is  the  perpendicular 
distance  between  the  bases. 

CYLINDERS. 

A  cylindrical  surface  is  a  curved  surface  generated  by  the 
motion  of  a  straight  line  which  touches  a  curve  and  continues 
parallel  to  itself. 

A  cylinder  is  a  solid  bounded  by  a  cylindrical  surface  and 
two  parallel  planes  intersecting  this  surface. 

The  parallel  faces  are  called 


CYLINDER. 


RIGHT  CYLINDER. 


The  altitude  of  a  cylinder  is  the  perpendicular  distance 
between  the  bases. 

A  circular  cylinder  is  a  cylinder  whose  base  is  a  circle. 

A  right  cylinder  or  a  cylinder  of  revolution  is  a  cylinder  gen- 
erated by  the  revolution  of  a  rectangle  about  one  side  as  an  axis. 

A  prism  whose  base  is  a  regular  polygon  may  be  inscribed  in 
or  circumscribed  about  a  circular  cylinder. 

The  cylindrical  area  is  call  the  lateral  area.  The  total  area 
is  the  area  of  the  bases  added  to  the  lateral  area. 

CONES. 

A  conical  surface  is  a  curved  surface  generated  by  the 
motion  of  a  straight  line,  one  point  of  which  is  fixed  and  the  end 
or  ends  of  which  move  in  a  curve. 


63 


12 


MECHANICAL  DRAWING. 


A  cone  is  a  solid  bounded  by  a  conical  surface  and  a  plane 
which  cuts  the  conical  surface. 

The  plane  is  called  the  base  and  the  curved  surface  the 
lateral  area. 

The  vertex  is  the  fixed  point. 

The  altitude  of  a  cone  is  the  perpendicular  distance  from  the 
vertex  ^to  the  base.. 

An  element  of  a  cone  is  a  straight  line  from  the  vertex  to  the 
perimeter  of  the  base. 

A  circular  cone  is  a  cone  whose  base  is  a  circle. 


BIGHT  CIRCULAR  CONE. 


FRUSTUM  OF  CONE. 


A  right  circular  cone  or  cone  of  revolution  is  a  cone  whose 
axis  is  perpendicular  to  the  base.  It  may  be  generated  by  the 
revolution  of  a  right  triangle  about  o*ne  of  the  perpendicular  sides 
as  an  axis. 

A  frustum  of  a  cone  is  the  solid  included  between  the  base 
and  a  plane  parallel  to  the  base. 


TANGENT   PLANE. 


The  altitude  of  a  frustum  of  a  cone   is   the  perpendicular 
distance  between  the  bases. 

SPHERES. 

A  sphere  is  a  solid  bounded  by  a  curved  surface,  every  point 

of  which  is  equally  distant  from  a  point  Avithin  called  the  center. 

The  radius  of  a  sphere  is  a  straight  line  drawn  from  the 


64 


MECHANICAL  DRAWING. 


center  to  the  surface.  The  diameter  is  a  straight  line  drawn 
through  the  center  and  having  its  extremities  in  the  surface. 

A  sphere  may  be  generated  by  the  revolution  of  a  semi-circle 
about  its  diameter  as  an  axis. 

An  inscribed  polyedron  is  a  polyedron  whose  vertices  lie  in 
the  surface  of  the  sphere. 

An  circumscribed  polyedron  is  a  polyedron  whose  faces  are 
tangent  to  a  sphere. 

A  great  circle  is  the  intersection  of  the  spherical  surface  and 
a  plane  passing  through  thj  center  of  a  sphere. 

A  small  circle  is  the  intersection  of  the  spherical  surface  and 
a  plane  which  does  not  pass  through  the  center. 

A  sphere  is  tangent  to  a  plane  when  the  plane  touches  the 
surface  in  only  one  point.  A  plane  perpendicular  to  the  extremity 
of  a  radius  is  tangent  to  the  sphere. 

CONIC  SECTIONS. 

If  a  plane  intersects  a  cone  the  geometrical  figures  thus 
formed  are  called  conic  sections.  A  plane  perpendicular  to  the 
base  and  passing  through  the  vertex  of  a  right  circular  cone  forms 
an  isosceles  triangle.  If  the  plane  is  parallel  to  the  base  the 
intersection  of  the  plane  and  conical  surface  will  be  the  circum- 
ference of  a  circle. 


Fig.  1.  Fig.  2.  Fig.  3.  Fig.  4. 

Ellipse.  The  ellipse  is  a  curve  formed  by  the  intersection  of 
a  plane  and  a  cone,  the  plane  being  oblique  to  the  axis  but  not 
cutting  the  base.  If  a  plane  is  passed  through  a  cone  as  shown 
in  Fig.  1  or  through  a  cylinder  as  shown  in  Fig  2,  the  curve  of 
intersection  will  be  an  ellipse,  An  ellipse  may  be  defined  as 
being  o,  curve  generated  by  a  point  moving  in  a  plane,  the  sum  of 
the  distances  of  the  point  to  two  fixed  points  being  always  constant. 

The  two  fixed  points  are  called   the  foci  and   lie   on   the 


65 


MECHANICAL  DRAWING. 


longest  line  that  can  be  drawn  in  the  ellipse.  One  of  these  points 
is  called  a  focus. 

The  longest  line  that  can  be  drawn  in  an  ellipse  is  called  the 
major  axis  and  the  shortest  line,  passing  through  the  center,  is 
called  the  minor  axis.  The  minor  axis  is  perpendicular  to  the 
middle  point  of  the  major  axis  and  the  point  of  intersection  is 
called  the  center 

An  ellipse  may  be  constructed  if  the  major  and  minor  axes 
are  given  or  if  the  foci  and  one  axis  are  known. 


Parabola.  The  parabola  is  a  curve  formed  by  the  inter- 
section  of  a  cone  and  a  plane  parallel  to  an  element  as  shown  in 
Fig.  3.  The  curve  is  not  a  closed  curve.  The  branches  approach 
parallelism. 

A  parabola  may  be  defined  as  being  a  curve  every  point  of 
which  is  equally  distant  from  a  line 
and  a  point. 

The  point  is  called  the  focus  and 
the  given  line  the  directrix.  The 
line  perpendicular  to  the  directrix 
and  passing  through  the  focus  is 
the  axis.  The  intersection  of  the 
axis  and  the  curve  is  the  vertex. 

Hyperbola.   This  curve  is  formed 

by  the  intersection  of  a  plane  and  a  cone,  the  plane  being  parallel 
to  the  axis  of  the  cone  as  shown  in  Fig.  4.  Like  the  parabola, 
the  curve  is  not  a  closed  curve ;  the  branches  constantly  diverge. 
An  hyperbola  is  defined  as  being  a  plane  curve  such  that  the 
difference  of  the  distances  from  any  point  in  the  curve  to  two  fixed 
points  is  equal  to  a  given  distance. 


MECHANICAL  DRAWING. 


15 


The  two  fixed  points  are  the  foci  and  the  line  passing  through 
them  is  the  transverse  axis. 

Rectangular  Hyperbola.  The  form  of  hyperbola  most  used 
in  Mechanical  Engineering  is  called  the  rectangular  hyperbola 
because  it  is  drawn  with  reference  to  rectangular  co-ordinates. 
This  curve  is  constructed  as  follows  :  In  Fig.  5,  O  X  and  O  Y  are 
the  two  co-ordinates  drawn  at  right  angles  to  each  other.  These 

lines  are  also  called  axes  or      y A     E     r     G     H     c 

asymptotes.  Assume  A  to 
be  a  known  point  on  the 
curve.  In  drawing  this  curve 
for  the  theoretical  indicator 
card,  this  point  A  is  the  point 
of  cut-off. 

Draw  A  C  parallel  to 
O  X  and  A  D  perpendicular 
to  O  X.  Now  mark  off  any 


--    L1 


2}      £'    ./ 

Fig.  5. 


G'     fi'    X 


convenient  points  on  A  C  such  as  E,  F,  G,  and  H  ;  and  through 
these  points  draw  EE',  FF',  GG',  and  HH'  perpendicular  to  O  X. 
Connect  E,  F,  G,  H  and  C  with  O.  Through  the  points  of  inter- 
section of  the  oblique  lines  and  the  vertical  line  A  D  draw  the 
horizontal  lines  LL',  MM',  NN',  PP'  and  QQ'.  The  first  point  on 
the  curve  is  the  assumed  point  A,  the  second  point  is  R,  the 
intersection  of  LL'  and  EE'.  The  third  is  the  intersection  S 
of  MM'  and  FF';  the  fourth  is  the  intersection  T  of  NN'  and 
GG'.  The  other  points  are  found  in  the  same  way. 

In  this  curve  the  products  of  the  co-ordinates  of  all  points  are 
equal.  Thus  LR  X  RE'  =  MS  X  SF'=  NT  X  TG'. 

ODONTOIDAL  CURVES. 

The  outlines  of  the  teeth  of  gears  must  be  drawn  accurately 
because  the  smoothness  of  running  depends  upon  the  shape  of  the 
teeth.  The  two  classes  of  curves  generally  employed  in  drawing 
gear  teeth  are  the  cycloidal  and  involute. 

Cycloid.  The  cycloid  is  a  curve  generated  by  a  point  on  the 
circumference  of  a  circle  which  rolls  on  a  straight  line  tangent  to 
the  circle. 

The  rolling  circle  is  called  the  describing  or  generating  circle 


67 


MECHANICAL  DRAWING. 


and  the  point,  the  describing  or  generating  point.     The    tangent 
along  which  the  circle  rolls  is  called  the  director. 

In  order  that  the  curve  may  be  a  true  cycloid  the  circle  must 
roll  without  any  slipping. 


TANGENT     OR   ZHRECTOFl 


Epicycloid.  If  the  generating  circle  rolls  upon  the  outside 
of  an  arc  or  circle,  called  the  director  circle,  the  curve  thus  gener- 
ated is  called  an  epicycloid.  The  method  of  drawing  this  curve 
is  the  same  as  that  for  the  cycloid. 

Hypocycloid.  In  case  the  generating  circle  rolls  upon  the 
inside  of  an  arc  or  circle,  the  curve  thus  generated  is  called  the 
hypocycloid.  The  circle  upon  which  the  generating  circle  rolls  is 


called  the  director  circle.  If  the  generating  circle  has  a  diameter 
equal  to  the  radius  of  the  director  circle  the  hypocycloid  becomes 
a  straight  line. 

Involute.  If  a  thread  or  fine  wire  is  wound  around  a 
cylinder  or  circle  and  then  unwound,  the  end  will  describe  a 
curve  called  an  involute.  The  involute  may  be  defined  as  being 
a  curve  generated  by  a  point  in  a  tangent  rolling  on  a  circle  known 
as  the  base  circle. 

The  construction  of  the  ellipse,  parabola,  hyperbola  and 
odontoidal  curves  will  be  taken  up  in  detail  with  the  plates. 


68 


MECHANICAL  DRAWING.  17 

PLATE  IV. 

Pencilling,  The  horizontal  and  vertical  center  lines  and  the 
border  lines  for  PLATE  IV  should  l;e  laid  out  in  the  same 
manner  as  were  those  for  PLATE  I.  There  are  to  be  six  figures 
on  this  plate  and  to  facilitate  the  laying  out  of  the  work,  the  fol- 
lowing lines  should  be  drawn:  measure  off  2|  inches  on  both  sides 
of  the  vertical  center  line  and  through  these  points  draw  vertical 
lines  as  shown  in  dot  and  dash  lines  on  PLATE  IV.  In  these 
six  spaces  the  six  figures  are  to  be  drawn,  the  student  placing 
them  in  the  centers  of  the  spaces  so  that  they  will  present  a  good 
appearance.  In  locating  the  figures,  they  should  be  placed  a  little 
above  the  center  so  that  there  will  be  sufficient  space  below  to 
number  the.  problem. 

The  figures  of  the  problems  should  first  be  drawn  lightly  in 
pencil  and  after  the  entire  plate  is  completed  the  lines  should  be 
inked.  In  pencilling,  all  intersections  must  be  formed  with  great 
care  as  the  accuracy  of  the  results  depends  upon  the  pencilling. 
Keep  the  pencil  points  in  good  order  at  all  times  and  draw  lines 
exactly  through  intersections. 

GEOMETRICAL  PROBLEMS. 

The  following  problems  are  of  great  importance  to  the 
mechanical  draughtsman.  The  student  should  solve  them  with 
care ;  he  should  not  do  them  blindly,  but  should  understand  them 
so  that  he  can  apply  the  principles  in  later  work. 

PROBLEM  I.     To  Bisect  a  Given  Straight  Line. 

Draw  the  horizontal  straight  line  A  C  about  3  inches  long. 
With  the  extremity  A  as  a  center  and  any  convenient  radius 
(about  2  inches)  describe  arcs  above  and  below  the  line  A  C. 
With  the  other  extremity  C  as  a  center  and  with  the  same  radius 
draw  short  arcs  above  and  below  A  C  intersecting  the  first  arcs  at 
D  and  E.  The  radius  of  these  arcs  must  be  greater  than  one-half 
the  length  of  the  line  in  order  that  they  may  intersect.  Now 
draw  the  straight  line  D  E  passing  through  the  intersections  D 
and  E.  This  line  cuts  the  line  A  C  at  F  which"  is  the  middle 
point. 


69 


18  MECHANICAL  DRAWING. 

Proof,  Since  the  points  D  and  E  are  equally  distant  from 
A  and  C  a  straight  line  drawn  through  them  is  perpendicular  to 
A  C  at  its  middle  point  F. 

PROBLEM  2.  To  Construct  an  Angle  Equal  to  a  Given 
Angle. 

Draw  the  line  O  C  about  2  inches  long  and  the  line  O  A  of 
about  the  same  length.  The  angle  formed  by  these  lines  may  be 
any  convenient  size  (about  45  degrees  is  suitable).  This  angle 
A  O  C  is  the  given  angle. 

Now  draw  F  G  a  horizontal  line  about  2^  inches  long  and  let 
F  the  left-hand  extremity  be  the  vertex  of  the  angle  to  be 
constructed. 

With  O  as  a  center  and  any  convenient  radius  (about  1| 
inches)  describe  the  arc  L  M  cutting  both  O  A  and  OC.  With 
F  as  a  center  and  the  same  radius  draw  the  indefinite  arc  O  Q. 
Now  set  the  compass  so  that  the  distance  between  the  pencil  and 
the  needle  point  is  equal  to  the  chord  L  M.  With  Q  as  a  center 
and  a  radius  equal  to  L  M  draw  an  arc  cutting  the  arc  O  Q  at  P. 
Through  F  and  P  draw  the  straight  line  F  E.  The  angle  E  F  G 
is  the  required  angle  since  it  is  equal  to  A  O  C. 

Proof.  Since  the  chords  of  the  arcs  L  M  and  P  Q  are  equal 
the  arcs  are  equal.  The  angles  are  equal  because  with  equal 
radii  equal  arcs  are  intercepted  by  equal  angles. 

PROBLEM  3.  To  Draw  Through  a  Given  Point  a  Line 
Parallel  to  a  Given  Line. 

First  Method.  Draw  the  horizontal  straight  line  A  C  about 
3|  inches  long  and  assume  the  point  P  about  1J  inches  above 
A  C.  Through  the  point  P  draw  an  oblique  line  F  E  forming 
any  convenient  angle  with  A  C.  (Make  the  angle  about  60 
degrees).  Now  construct  an  angle  equal  to  P  F  G  having  the 
vertex  at  P  and  one  side  the  line  E  P.  (See  problem  2). 
This  may  be  done  as  follows :  With  F  as  a  center  and  any  con- 
venient radius,  describe  the  arc  L  M.  With  the  same  radius 
draw  the  indefinite  arc  N  O  using  P  as  the  center.  With  N  as  a 
center  and  a  radius  equal  to  the  chord  L  M,  draw  an  arc  cutting 
the  arc  N  O  at  O.  Through  the  points  P  and  O  draw  a  straight 
line  which  will  be  parallel  to  A  G. 


70 


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1 'I 


MECHANICAL  DRAWING.  19 

Proof.  If  two  straight  lines  are  cut  by  a  third  making  the 
corresponding  angles  equal,  the  lines  are  parallel. 

PROBLEM  4.  To  Draw  Through  a  Given  Point  a  Line 
Parallel  to  a  Given  Line. 

Second  Method.  Draw  the  straight  line  A  C  about  3|  inches 
long  and  assume  the  point  P  about  1J  inches  above  A  C.  With 
?  as  a  center  and  any  convenient  radius  (about  2£  inches)  draw 
the  indefinite  arc  E  D  cutting  the  line  A  C.  Now  with  the  same 
radius  and  with  D  as  a  center,  draw  an  arc  P  Q.  Set  the  com- 
pass so  that  the  distance  between  the  needle  point  and  the  pencil 
is  equal  to  the  chord  P  Q.  With  D  as  a  center  and  a  radius 
equal  to  P  Q,  describe  an  arc  cutting  the  arc  E  D  at  H.  A  line 
drawn  through  P  and  H  will  be  parallel  to  A  C. 

Proof.  Draw  the  line  Q  H.  Since  the  arcs  P  Q  and  H  D 
are  equal  and  have  the  same  radii,  the  angles  P  H  Q  and  H  Q  D 
are  equal.  Two  lines  are  parallel  if  the  alternate  interior  angles 
are  equal. 

PROBLEM  5.  To  Draw  a  Perpendicular  to  a  Line  from 
a  Point  in  the  Line. 

First  Method.     When  the  point  is  near  the  middle  of  the  line. 

Draw  the  horizontal  line  A  C  about  3J  inches  long  and 
assume  the  point  P  near  the  middle  of  the  line.  With  P  as  a 
center  and  any  convenient  radius  (about  1^  inches)  draw  two  arcs 
cutting  the  line  A  C  at  E  and  F.  Now  with  E  and  F  as  centers 
and  any  convenient  radius  (about  2-£  inches)  describe  arcs  inter- 
secting at  O.  The  line  O  P  will  be  perpendicular  to  A  C  at  P. 

Proof.  The  points  P  and  O  are  equally  distant  from  E  and 
F.  Hence  a  line  drawn  through  them  is  perpendicular  to  the 
middle  point  of  E  F  which  is  P. 

PROBLEM  6.  To  Draw  a  Perpendicular  to  a  Line  from 
a  Point  in  the  Line. 

Second  Method.     When  the  point  is  near  the  end  of  the  line. 

Draw  the  line  A  C  about  3^  inches  long.  Assume  the  given 
point  P  to  be  about  |  inch  from  the  end  A.  With  any  point  D 
as  a  center  and  a  radius  equal  to  D  P,  des'cribe  an  arc,  cutting  A  C 
at  E.  Through  E  and  D  draw  the  diameter  E  O.  A  line  from 
O  to  P  is  perpendicular  to  A  C  at  P. 


73 


20  MECHANICAL  DRAWING. 

Proof.  The  angle  O  P  E  is  inscribed  in  a  semi-circle ;  hence 
it  is  a  right  angle,  and  the  sides  O  P  and  P  E  are  perpendicular 
to  each  other. 

After  completing  these  figures  draw  pencil  lines  for  the 
lettering.  The  words  " PLATE  IV"  and  the  date  and  nanu 
should  be  placed  in  the  border,  as  in  preceding  plates.  To 
letter  the  words  "  Problem  1,"  "Problem  2,"  etc.,  draw  horizontal 
lines  ^  inch  above  the  horizontal  center  line  and  the  lower  border 
line.  Draw  another  line  ^  inch  above,  to  limit  the  height  of  the 
P,  b  and  1.  Draw  a  third  line  ^  inch  above  the  lower  line  as  a 
guide  line  for  the  tops  of  the  small  letters. 

Inking.  In  inking  PLATE  IV the  figures  should  be  inked 
first.  The  line  A  C  of  Problem  1  should  be  a  full  line  as  it  is 
the  given  line  ;  the  arcs  and  line  D  E,  being  construction  lines 
should  be  dotted.  In  Problem  2,  the  sides  of  the  angles  should 
be  full  lines.  Make  the  chord  L  M  and  the  arcs  dotted,  since 
as  before,  they  are  construction  lines. 

In  Problem  3,  the  line  A  C  is  the  given  line  and  P  O  is  the 
line  drawn  parallel  to  it.  As  E  F  and  the  arcs  do  not  form  a  part 
of  the  problem  but  are  merely  construction  lines,  drawn  as  an  aid 
in  locating  P  O,  they  should  be  dotted.  In  Problems  4,  5  and  6, 
the  assumed  lines  and  those  found  by  means  of  the  construction 
lines  should  be  full  lines..  The  arcs  and  construction  lines  should 
he  dotted.  In  Problem  6,  the  entire  circumference  need  not  be 
Inked,  only  that  part  is  necessary  that  is  used  in  the  problem. 
The  inked  arc  should  however  be  of  sufficient  length  to  pass 
through  the  points  O,  P  and  E. 

Aft-er  inking  the  figures,  the  border  lines  should  be  inked 
with  a  heavy  line  as  before.  Also,  the  words  "PLATE  IV"  and 
the  date  and  the  student's  name.  Under  each  problem  the  words 
"  Problem  1,"  "  Problem  2,"  etc.,  should  be  inked ;  lower  case  let- 
ters being  used  as  shown. 

PLATE  V. 

Pencilling.  In  laying  out  the  border  lines  and  centre  lines 
follow  the  directions  given  for  PLATE  IV.  The  dot  and 
dash  lines  should  be  drawn  in  the  same  manner  as  there  are  to  be 
six  problems  on  this  plate. 


74 


r 


<Vl 


MECHANICAL  DRAWING.  21 


PROBLEM  7.  To  Draw  a  Perpendicular  to  a  Line  from  a 
Point  without  the  Line. 

Draw  the  horizontal  straight  line  A  C  about  3^  inches  long. 
Assume  the  point  P  about  li  inches  above  the  line.  With  P  as 
a  center  and  any  convenient  radius  (about  2  inches)  describe  an 
arc  cutting  A  C  at  E  and  F.  The  radius  of  this  arc  must  always 
be  such  that  it  will  cut  A  C  in  two  points ;  the  nearer  the  points 
E  and  F  are  to  A  and  C,  the  greater  will  be  the  accuracy  of  the 
work.  Now  with  E  and  F  as  centers  and  any  convenient  radius 
(about  2|-  inches)  draw  the  arcs  intersecting  below  A  C  at  T.  A 
line  through  the  points  P  and  T  will  be  perpendicular  to  A  C. 

In  case  there  is  not  room  below  A  C  to  draw  the  arcs,  they 
may  be  drawn  intersecting  above  the  line  as  shown  at  N.  When- 
ever convenient,  draw  the  arcs  below  A  C  for  greater  accuracy. 

Proof.  Since  P  and  T  are  equally  distant  from  E  and  F, 
the  line  P  T  is  perpendicular  to  A  C. 

PROBLEM  8.     To  Bisect  a  Given  Angle. 

First  Method.     When  the  sides  intersect. 

Draw  the  lines  O  C  and  O  A  forming  any  angle  (from  45  to 
60  degrees).  These  lines  should  be  about  3  inches  long.  With 
O  as  a  center  and  any  convenient  radius  (about  2  inches)  draw 
an  arc  intersecting  the  sides  of  the  angle  at  E  and  F.  With  E 
and  F  as  centers  and  a  radius  of  1|  or  If  inches,  describe  short 
arcs  intersecting  at  I.  A  line  O  D,  drawn  through  the  points  O 
and  I,  bisects  the  angle. 

In  solving  this  problem  the  arc  E  F  should  not  be  too  near 
the  vertex  if  accuracy  is  desired. 

Proof.  The  central  angles  A  O  D  and  DOC  are  equal 
because  the  arc  E  F  is  bisected  by  the  line  O  D.  The  point  I  is 
equally  distant  from  E  and  F. 

PROBLEM  9.     To  Bisect  a  Given  Angle, 

Second  Method.     When  the  lines  do  not  intersect. 

Draw  the  lines  A  C  and  E  F  about  4  inches  long  and  in  the 
positions  as  shown  on  PLATE  V.  Draw  A'  C'  and  E'  F'  parallel 
to  A  C  and  E  F  and  at  such  equal  distances  from  them  that 
they  will  intersect  at  O.  Now  bisect  the  angle  C'  O  F'  by 


77 


22  MECHANICAL  DRAWING. 

the  method  of  Problem  8.  Draw  the  arc  G  H  and  with  G  and  H 
as  centers  draw  the  arcs  intersecting  at  R.  The  line  O  R  bisects 
the  angle. 

Proof.  Since  A'  C'  is  parallel  to  A  C  and  E'  F  parallel  to 
E  F,  the  angle  C'  O  F'  is  equal  to  the  angle  formed  by  the  lines 
A  C  and  E  F.  Hence  as  O  R  bisects  angle  C'  O  F'  it  also  bisects 
the  angle  formed  by  the  lines  A  C  and  E  F. 

PROBLEM  10.  To  Divide  a  Given  Line  into  any  Number 
of  Equal  Parts. 

Let  A  C,  about  3^  inches  long,  be  the  given  line.  Let  us 
divide  it  into  7  equal  parts.  Draw  the  line  A  J  at  least  4  inches 
long,  forming  any  convenient  angle  with  A  C.  On  A  J  lay  off, 
by  means  of  the  dividers  or  scale,  points  D,  E,  F,  G,  etc.,  each  ^  inch 
apart.  If  dividers  are  used  the  spaces  need  not  be  exactly  ^ 
inch.  Draw  the  line  J  C  and  through  the  points  D,  E,  F,  G,  etc., 
draw  lines  parallel  to  J  C.  These  parallels  will  divide  the  line 
A  C  into  7  equal  parts. 

Proof.  If  a  series  of  parallel  lines,  cutting  two  straight 
lines,  intercept  equal  distances  on  one  of  these  lines,  they  also 
intercept  equal  distances  on  the  other. 

PROBLEM  11.  To  Construct  a  Triangle  having  given  the 
Three  Sides. 

Draw  the  three  sides  as  follows : 

A  C,  2f  inches  long. 
E  F,  llf  inches  long. 
M  N,  2-j^-  inches  long. 

Draw  R  S  equal  in  length  to  A  C.  With  R  as  a  center  and 
a  radius  equal  to  E  F  describe  an  arc.  With  S  as  a  center  and 
a  radius  equal  to  M  N  draw  an  arc  cutting  the  arc  previously 
drawn,  at  T.  Connect  T  with  R  and  S  to  form  the  triangle. 

PROBLEM  12.  To  Construct  a  Triangle  having  given 
One  Side  and  the  Two  Adjacent  Angles. 

Draw  the  line  M  N  3^  inches  long  and  draw  two  angles 
A  O  D  and  E  F  G.  Make  the  angle  A  O  D  about  30  degrees  and 
E  F  G  about  60  degrees. 

Draw  R  S  equal  in  length  to  M  N  and  at  R  construct  an 


78 


MECHANICAL  DRAWING.  23 

angle  equal  to  A  O  D.  At  S  construct  an  angle  equal  to  E  F  G 
by  the  method  used  in  Problem  2.  PLATE  V  shows  the  neces- 
sary arcs.  Produce  the  sides  of  the  angles  thus  constructed 
until  they  meet  at  T.  The  triangle  R  T  S  will  be  the  required 
triangle. 

After  drawing  these  six  figures  in  pencil,  draw  the  pencil 
lines  for  the  lettering.  The  lines  for  the  words  '•'•PLATE  V" 
date  and  name,  should  be  pencilled  as  explained  on  page  20. 
The  words  "  Problem  7,"  "  Problem  8,>5  etc.,  are  lettered  as  for 
PLATE  IV. 

Inking.  In  inking  PLATE  V,  the  same  principles  should 
be  followed  as  stated  with  PLATE  IV.  The  student  should 
apply  these  principles  and  not  make  certain  lines  dotted  just 
because  they  are  shown  dotted  in  PLATE  V. 

After  inking  the  figures,  the  border  lines  should  be  inked 
and  the  lettering  inked  as  already  explained  in  connection  with 
previous  plates. 

PLATE   VI. 

Pencilling.  Lay  out  this  plate  in  the  same  manner  as  the 
two  preceding  plates. 

PROBLEM  13.  To  describe  an  Arc  or  Circumference 
through  Three  Given  Points  not  in  the  same  straight  line. 

Locate  the  three  points  A,  B  and  C.  Let  the  distance 
between  A  and  B  be  about  2  inches  and  the  distance  between  A 
and  C  be  about  2£  inches.  Connect  A  and  B  and  A  and  C. 
Erect  perpendiculars  to  the  middle  points  of  <V  B  and  A  C.  This 
may  be  done  as  explained  with  Problem  1.  With  A  and  B  as 
centers  and  a  radius  of  about  1|  inches,  describe  the  arcs  inter- 
secting at  I  and  J.  With  A  and  C  as  centers  and  with  a  radius 
of  about  1|  inches  draw  the  arcs,  intersecting  at  E  and  F.  Now 
draw  light  pencil  lines  connecting  the  intersections  I  and  J  and 
E  and  F.  These  lines  will  intersect  at  O. 

With  O  as  a  center  and  a  radius  equal  to  the  distance  O  A, 
describe  the  circumference  passing  through  A,  B  and  C. 

Proof.  The  point  O  is  equally  distant  from  A,  B  and  C, 
since  it  lies  in  the  perpendiculars  to  the  middle  points  of  A  B  and 


24  MECHANICAL  DRAWING. 


A  C.     Hence  the  circumference  will  pass  through  A,  B  and  C. 

PROBLEM  14.      To  inscribe  a  Circle  in  a  given  Triangle. 

Draw  the  triangle  L  M  N  of  any  convenient  size.  M  N  may 
be  made  3^  inches,  L  M,  2|  inches,  and  L  N,  31  inches.  Bisect 
the  angles  M  L  N  and  L  M  N.  The  bisectors  M  I  and  L  J  may 
be  drawn  by  the  method  used  in  Problem  8.  Describe  the  arcs 
A  C  and  E  F,  having  centers  at  L  and  M  respectively.  The  arcs 
intersecting  at  I  and  J  are  drawn  as  already  explained.  The 
bisectors  of  the  angles  intersect  at  O,  which  is  the  center  of  the 
inscribed  circle.  The  radius  of  the  circle  is  equal  to  the  perpen- 
dicular distance  from  O  to  one  of  the  sides. 

Proof.  The  point  of  intersection  of  the  bisectors  of  the 
angles  of  a  triangle  is  equally  distant  from  the  sides. 

PROBLEM  15.  To  inscribe  a  Regular  Pentagon  in  a  given 
Circle. 

With  O  as  a  center  and  a  radius  of  about  1£  inches,  describe 
the  given  circle.  With  the  T  square  and  triangles  draw  the  cen- 
ter lines  A  C  and  E  F.  These  lines- should  be  perpendicular  to 
each  other  and  pass  through  O.  Bisect  one  of  the  radii,  such  as 
O  C,  and  with  this  point  H  as  a  center  and  a  radius  H  E,  describe 
the  arc  E  P.  This  arc  cuts  the  diameter  A  C  at  P.  With  E  as 
a  center  and  a  radius  E  P,  draw  arcs  cutting  the  circumference 
at  L  and  Q.  With  the  same  radius  and  a  center  at  L,  draw  the 
arc,  cutting  the  circumference  at  M.  To  find  the  point  N,  use 
either  M  or  Q  as  a  center  and  the  distance  E  P  as  a  radius. 

The  pentagon  is  completed  by  drawing  the  chords  E  L,  L  M, 
M  N,  N  Q  and  Q  E. 

PROBLEM  16.  To  inscribe  a  Regular  Hexagon  in  a  given 
Circle. 

With  O  as  a  center  and  a  radius  of  1|-  inches  draw  the  given 
circle.  With  the  T  square  draw  the  diameter  A  D.  With  D  as 
a  center,  and  a  radius  equal  to  O  D,  describe  arcs  cutting  the 
circumference  at  C  and  E.  Now  with  C  and  E  as  centers  and 
the  same  radius,  draw  the  arcs,  cutting  the  circumference  at  B 
and  F.  Draw  the  hexagon  by  joining  the  points  thus  formed. 

To  inscribe  a  regular  hexagon  in  a  circle  mark  off  chords 
equal  in  length  to  the  radius. 


SO 


K 


<l 


MECHANICAL  DRAWING.  25 

To  inscribe  an  equilateral  triangle  in  a  circle  the  same  method 
may  be  used.  The  triangle  is  formed  by  joining  the  opposite 
vertices  of  the  hexagon. 

Proof.  The  triangle  O  C  D  is  an  equilateral  triangle  by 
construction.  Then  the  angle  C  O  D  is  one-third  of  two  right 
angles  and  one-sixth  of  four  right  angles.  Hence  arc  C  D  is  one- 
sixth  of  the  circumference  and  the  chord  is  a  side  of  a  regular 
hexagon. 

PROBLEM  17.  To  draw  a  line  Tangent  to  a  Circle  at  a 
given  point  on  the  circumference. 

With  O  as  a  center  and  a  radius  of  about  1£  inches  draw 
the  given  circle.  Assume  some  point  P  on  the  circumference 
Join  the  point  P  with  the  center  O  and  through  P  draw  a  line 
F  P  perpendicular  to  P  O.  This  may  be  done  in  any  one  of  several 
methods.  Since  P  is  the  extremity  of  O  P  the  method  given  in 
Problem  6  of  PLATE  IV,  may  be  used. 

Produce  P  O  to  Q.  With  any  center  C,  and  a  radius  C  P 
draw  an  arc  or  circumference  passing  through  P.  Draw  E  F  a 
diameter  of  the  circle  whose  center  is  C  and  through  F  and  P 
draw  the  tangent. 

Proof.  A  line  perpendicular  to  a  radius  at  its  extremity  is 
tangent  to  the  circle. 

PROBLEM  18-  To  draw  a  line  Tangent  to  a  Circle  from  a 
point  outside  the  circle. 

With  O  as  a  center  and  a  radius  of  about  1  inch  draw  the 
given  circle.  Assume  P  some  point  outside  of  the  circle  about 
21  inches  from  the  center  of  the  circle.  Draw  a  straight  line 
passing  through  P  and  O.  Bisect  P  O  and  with  the  middle 
point  F  as  a  center  describe  the  circle  passing  through  P  and  O. 
Draw  a  line  through  P  and  the  intersection  of  the  two  circum- 
ferences C.  The  line  P  C  is  tangent  to  the  given  circle.  Simi- 
larly P  E  is  tangent  to  the  circle. 

Proof.  The  angle  P  C  O  is  inscribed  in  a  semi-circle  and 
hence  is  a  right  angle.  Since  P  C  O  is  a  right  angle  P  C  is  per- 
pendicular to  C  O.  The  perpendicular  to  a  radius  at  its  extremity 
is  tangent  to  the  circumference. 

Inking.     In  inking  PLATE  VI  the  same  method  should  be 


MECHANICAL  DRAWING. 


followed  as  in  previous  plates.     The  name  and  address  should  be 
lettered  in  inclined  Gothic  capitals  as  before. 

PLATE  VII. 

Pencilling.  PLATE  VII should  be  laid  out  in  the  same 
manner  as  previous  plates.  Six  problems  on  the  ellipse,  spiral, 
parabola  and  hyperbola  are  to  be  constructed  in  the  six  spaces. 

PROBLEM  19.  To  draw  an  Ellipse  when  the  Axes  are 
given. 

Draw  the  lines  L  M  and  C  D  about  3^  and  2-|  inches  long 
respectively.  Let  C  D  be  perpendicular  to  M  N  at  its  middle 
point  P.  Make  C  P  =  P  D.  These  two  lines  are  the  axes.  With 
C  as  a  center  and  a  radius  equal  to"  one-half  the  major  axis  or 
equal  to  L  P,  draw  the  arc,  cutting  the  major  axis  at  E  and  F. 
These  two  points  are  the  foci.  Now  mark  off  any  convenient 
distances  on  P  M,  such  as  A,  B  and  G. 

With  E  as  a  center  and  a  radius  equal  to  L  A,  draw  arcs 
above  and  below  L  M.  With  F  as  a  center,  and  a  radius  equal 
to  A  M  describe  short  arcs  cutting  those  already  drawn  as  shown 
at  N.  With  E  as  a  center  and  a  radius  equal  to  L  B  draw  arcs 
above  and  below  L  M  as  before.  With  F  as  a  center  and  a  radius 
equal  to  B  M,  draw  arcs  intersecting  those  already  drawn  as  shown 
at  O.  The  point  P  and  others  are  found  by  repeating  the  process. 
The  student  is  advised  to  find  at  least  12  points  on  the  curve  — 
6  above  and  6  below  L  M.  These  12  points  with  L,  C,  M  and 
D  will  enable  the  student  to  draw  the  curve.' 

After  locating  these  points,  a  free  hand  curve  passing  through 
them  should  be  sketched. 

PROBLEM  20.  To  draw  an  Ellipse  when  the  two  Axes  are 
given. 

Second  Method.  Draw  the  two  axes  A  B  and  P  Q  in  the 
same  manner  as  for  Problem  19.  With  O  as  a  center  and  a  radius 
equal  to  one-half  the  major  axis,  describe  the  circumference  A  C 
D  E  F  B.  Similarly  with  the  same  center  and  a  radius  equal  to 
one-half  the  minor  axis,  describe  a  circle.  Draw  any  radii  such 
-as  O  C,  O  D,  O  E,  OF,  etc.,  cutting  both  circumferences.  These 
radii  may  be  drawn  with  the  60  and  45  degree  triangles.  At  the 


84 


MECHANICAL  DRAWING.  27 

points  of  intersection  of  the  radii  with  the  large  circle  C  D  E  and 
F,  draw  vertical  lines  and  from  the  intersection  of  the  radii  with 
the  small  circle  C',  D',  E',  and  F',  draw  horizontal  lines  intersect- 
ing the  vertical  lines.  The  intersections  of  these  lines  are  points 
on  the  curve. 

As  in  Problem  19,  a  free  hand  curve  should  be  sketched  pass- 
ing through  these  points.  About  five  points  in  each  quadrant 
will  be  sufficient. 

PROBLEM  21.  To  draw  an  Ellipse  by  means  of  a 
Trammel. 

As  in  the  two  preceding  problems,  draw  the  major  and  minor 
axes,  U  V  and  X  Y.  Take  a  slip  of  paper  having  a  straight 
edge  and  mark  off  C  B  equal  to  one-half  the  major  axis,  and  D  B 
one-half  the  minor  axis.  Place  the  slip  of  paper  in  various 
positions  keeping  the  point  D  on  the  major  axis  and  the  point  0 
on  the  minor  axis.  If  this  is  done  the  point  B  will  mark  various 
points  on  the  curve.  Find  as  many  points  as  necessary  and  sketch 
the  curve. 

PROBLEM  22,     To  draw  a  Spiral  of  one  turn  in  a  circle. 

Draw  a  circle  with  the  center  at  O  and  a  radius  of  1|-  inches. 
Mark  off  on  the  radius  O  A,  distances  of  one-eighth  inch.  As 
O  A  is  1|-  inches  long  there  will  be  12  of  these  distances.  Draw 
circles  through  these  points.  Now  draw  radii  O  B,  O  C,  0  D, 
etc.  each  30  degrees  apart  (use  the  30  degree  triangle).  This 
will  divide  the  circle  into  12  equal  parts.  The  curve  starts  at  the 
center  O.  The  next  point  is  the  intersection  of  the  line  O  B  and 
the  first  circle.  The  third  point  is  the  intersection  of  O  C  and 
the  second  circle.  The  fourth  point  is  the  intersection  of  O  D 
and  the  third  circle.  Other  points  are  found  in  the  same  way. 
Sketch  in  pencil  the  curve  passing  through  these  points. 

PROBLEM  23.  To  draw  a  Parabola  when  the  Abscissa  and 
Ordinate  are  given. 

Draw  the  straight  line  A  B  about  three  inches  long.  This 
line  is  the  axis  or  as  it  is  sometimes  called  the  abscissa.  At  A 
and  B  draw  lines  perpendicular  to  A  B.  Also  with  the  T  square 
draw  E  C  and  F  D,  11  inches  above  and  below  A  B.  Let  A  be 


87 


28  MECHANICAL  DRAWING. 

the  vertex  of  the  parabola.  Divide  A  E  into  any  number  of 
equal  parts  and  divide  E  C  into  the  same  number  of  equal  parts. 
Through  the  points  of  division,  R,  S,  T,  U  and  V,  draw  horizontal 
lines  and  connect  L,  M,  N,  O  and  P,  with  A.  The  intersections 
of  the  horizontal  lines  with  the  oblique  lines  are  points  on  the 
curve.  For  instance,  the  intersection  of  A  L  and  the  line  V  is 
one  point  and  the  intersection  of  A  M  and  the  line  U  is  another. 
The  lower  part  of  the  curve  A  D  is  drawn  in  the  same 
manner. 

PROBLEM  24.  To  draw  a  Hyperbola  when  the  abscissa 
E  X,  the  ordinate  A  E  and  the  diameter  X  Y  are  given. 

Draw  E  F  about  3  inches  long  and  mark  the  point  X,  1  inch 
from  E  and  the  point  Y,  1  inch  from  X0  With  the  triangle  and 
T  square,  draw  the  rectangles  A  B  D  C  and  O  P  Q  R  such  that 
A  B  is  1  inch  in  length  and  A  C,  3  inches  in  length.  Divide 
A  E  into  any  number  of  equal  parts  and  A  B  into  the  same  num- 
ber of  equal  parts.  Draw  L  X,  M  X  and  N  X ;  also  connect  T, 
U  and  V  with  Y.  The  first  point  on  the  curve  is  the  intersection 
A ;  the  next  is  the  intersection  of  T  Y  and  L  X  ;  the  third  the 
intersection  of  U  Y  and  M  X.  The  remaining  points  are  found 
in  the  same  manner.  The  curve  X  C  and  the  right-hand  curve 
P  Y  Q  are  found  by  repeating  the  process. 

Inking.  In  inking  the  figures  on  this  plate,  use  the  French 
or  irregular  curve  and  make  full  lines  for  the  curves  and  their 
axes.  The  construction  lines  should  be  dotted.  Ink  in  all  the 
construction  lines  used  in  finding  one-half  of  a  curve,  and  in 
Problems  19,  20,  23  and  24  leave  all  construction  lines  in  pencil 
except  those  inked.  In  Problems  21  and  22  erase  all  construction 
lines  not  inked.  The  trammel  used  in  Problem  21  may  be  drawn 
in  the  position  as  shown,  or  it  may  be  drawn  outside  of  the  ellipse 
in  any  convenient  place. 

The  same  lettering  should  be  done  on  this  plate  as  on  previous 
plates. 

PLATE  VIII. 

Pencilling.  In  laying  out  Plate  VIII,  draw  the  border  lines 
and  horizontal  and  vertical  center  lines  as  in  previous  plates,  to 
divide  the  plate  into  four  spaces  for  the  four  problems. 


MECHANICAL  DRAWING.  29 


PROBLEM  25.  To  construct  a  Cycloid  when  the  diameter 
of  the  generating  circle  is  given. 

With  O'  as  a  center  and  a  radius  of  |  inch  draw  a  circle,  and 
tangent  to  it  draw  the  indefinite  horizontal  straight  line  A  B. 
Divide  the  circle  into  any  number  of  equal  parts  (12  for  instance) 
and  through  these  points  of  division  C,  D,  E,  F,  etc.,  draw  hori- 
zontal lines.  Now  with  the  dividers  set  so  that  the  distance 
between  the  points  is  equal  to  the  chord  of  the  arc  C  D,  mark  off 
the  points  L,  M,  N,  O,  P  on  the  line  A  B,  commencing  at  the 
point  H.  At  these  points  erect  perpendiculars  to  the  center  line 
G  O'.  This  center  line  is  drawn  through  the  point  O'  with  the 
T  square  and  is  the  line  of  centers  of  the  generating  circle  as  it 
rolls  along  the  line  A  B.  Now  with  the  intersections  Q,  R,  S, 
T,  etc.,  of  these  verticals  with  the  center  line  as  centers  describe 
arcs  of  circles  as  shown.  The  points  on  the  curve  are  the  inter- 
sections of  these  arcs  and  the  horizontal  lines  drawn  through  the 
points  C,  D,  E,  F,  etc.  Thus  the  intersection  of  the  arc  whose 
center  is  Q  and  the  horizontal  line  through  C  is  a  point  I  on  the 
curve.  Similarly,  the  intersection  of  the  arc  whose  center  is  R 
and  the  horizontal  line  through  D  is  another  point  J  on  the  curve. 
The  remaining  points,  as  well  as  those  on  the  right-hand  side,  are 
found  in  the  same  manner.  To  obtain  great  accuracy  in  this 
curve,  the  circle  should  be  divided  into  a  large  number  of  equal 
parts,  because  the  greater  the  number  of  divisions  the  less  the  error 
due  to  the  difference  in  length  of  a  chord  and  its  arc. 

PROBLEM  26.  To  construct  an  Epicycloid  when  the  di- 
ameter of  the  generating  circle  and  the  diameter  of  the  director 
circle  are  given. 

The  epicycloid  and  hypocycloid  may  be  drawn  in  the  same 
manner  as  the  cycloid  if  arcs  of  circles  are  used  in  place  of  the 
horizontal  lines.  With  O  as  a  center  and  a  radius  of  |  inch 
describe  a  circle.  Draw  the  diameter  E  F  of  this  circle  and  pro- 
duce E  F  to  G  such  that  the  line  F  G  is  2|  inches  long.  With 
G  as  a  center  and  a  radius  of  2|  inches  describe  the  arc  A  B  of 
the  director  circle.  With  the  same  center  G,  draw  the  arc  P  Q 
which  will  be  the  path  of  the  center  of  the  generating  circle  as  it 
rolls  along  the  arc  A  B.  Now  divide  the  generating  circle  into 


91 


30  MECHANICAL  DRAWING. 

any  number  of  equal  parts  (twelve  for  instance)  and  through  the 
points  of  division  H,  I,  L,  M,  and  N,  draw  arcs  having  G  as  a 
center.  With  the  dividers  set  so  that  the  distance  between  the 
points  is  equal  to  the  chord  H  I,  mark  off  distances  on  the 
director  circle  A  F  B.  Through  these  points  of  division  R,  S, 
T,  U,  etc.,  draw  radii  intersecting  the  arc  P  Q  in  the  points  R',  S', 
T',  etc.,  and  witli  these  points  as  centers  describe  arcs  of  circles 
as  in  Problem  25.  The  intersections  of  these  arcs  with  the  arcs 
already  drawn  through  the  points  H,  I,  L,  M,  etc.,  are  points  on 
the  curve.  Thus  the  intersection  of  the  circle  whose  center  is  R' 
with  the  arc  drawn  through  the  point  H  is  a  point  upon  the  curve. 
Also  the  arc  whose  center  is  S'  with  the  arc  drawn  through  the 
point  I  is  another  point  on  the  curve.  The  remaining  points  are 
found  by  repeating  this  process. 

PROBLEM  27.  To  draw  an  Hypocycloid  when  -he  diam- 
eter of  the  generating  circle  and  the  radius  of  the  director  circle 
are  given. 

With  O  as  a  center  and  a  radius  of  4  inches  describe  the  arc 
E  F,  which  is  the  arc  of  the  director  circle.  Now  with  the  same 
center  and  a  radius  of  3  J  inches,  describe  the  arc  A  B,  which  is  the 
line  of  centers  of  the  generating  circle  as  it  rolls  on  the  director 
circle.  With  O'  as  a  center  and  a  radius  of  f  inch  describe  the 
generating  circle.  As  before,  divide  the  generating  circle  into 
any  number  of  equal  parts  (12  for  instance)  and  with  these  points 
of  division  L,  M,  N,  O,  etc.,  draw  arcs  having  O  as  a  center. 
Upon  the  arc  E  F,  lay  off  distances  Q  R,  R  S,  S  T,  etc.,  equal  to 
the  chord  Q  L.  Draw  radii  from  the  points  R,  S,  T,  etc.,  to  the 
center  of  the  director  circle  O  and  describe  arcs  of  circles  having  a 
radius  equal  to  the  radius  of  the  generating  circle,  using  the 
points  G,  I,  J,  etc.,  as  centers.  As  in  Problem  26,  the  inter- 
sections of  the  arcs  are  the  points  on  the  curve.  By  repeating 
this  process,  the  right-hand  portion  of  the  curve  may  be  drawn. 

PROBLEM  28.  To  draw  the  Involute  of  a  circle  whan  the 
diameter  of  the  base  circle  is  known. 

With  point  O  as  a  center  and  a  radius  of  1  inch,  describe  the 
base  circle.  Now  divide  the  circle  into  any  number  of  equal  parts 
16  for  instance)  and  connect  the  points  of  division  with  the  cen- 


92 


MECHANICAL  DRAWING.  31 

ter  of  the  circle  by  drawing  the  radii  O  C,  O  D,  O  E5  O  F,  etc., 
to  O  B.  At  the  point  D,  draw  a  light  pencil  line  perpendicular 
to  the  radius  O-  D.  This  line  will  be  tangent  to  the  circle. 
Similarly  at  the  points  E,  F,  G,  H,  etc.,  draw  tangents  to  the 
circle.  Now  set  the  dividers  so  that  the  distance  between  the 
points  will  be  equal  to  the  chord  of  the  arc  C  D,  and  measure  this 
distance  from  D  along  the  tangent.  Beginning  with  the  point  E, 
measure  on  the  tangent  a  distance  equal  to  two  of  these  chords, 
from  the  point  F  measure  on  the  tangent  three  divisions,  and  from 
the  point  G  measure  a  distance  equal  to  four  divisions  on  the 
tangent  G  P.  Similarly,  measure  distances  on  the  remaining 
tangents,  each  time  adding  the  length  of  the  chord.  This  will 
give  the  points  Q,  R,  S  and  T.  Now  sketch  a  light  pencil  line 
through  the  points  L,  M,  N,  P,  etc.,  to  T.  This  curve  will  be  the 
involute  of  the  circle. 

Inking.  The  same  rules  are  to  be  observed  in  inking  PL  A  TE 
VIII  as  were  followed  in  the  previous  plates,  that  is,  the  curves 
should  be  inked  in  a  full  line,  using  the  French  or  irregular  curve. 
All  arcs  and  lines  used  in  locating  the  points  on  one-half  of  the 
curve  should  be  inked  in  dotted  lines.  The  arcs  and  lines  used  in 
locating  the  points  of  the  other  half  of  the  curve  may  be  left  in 
pencil  in  Problems  25  and  26.  In  Problem  28,  all  construction 
lines  should  be  inked.  After  completing  the  problems  the  same 
lettering  should  be  done  on  this  plate  as  on  previous  plates. 


MECHANICAL    DRAWING 

PART  III. 


PROJECTIONS. 


ORTHOGRAPHIC   PROJECTION. 

Orthographic  Projection  is  the  art  of  representing  objects  of 
three  dimensions  by  views  on  two  planes  at  right  angles  to  each 
other,  in  such  a  way  that  the  forms  and  positions  may  be  completely 
determined.  The  two  planes  are  called  planes  of  projection  or 
co-ordinate  planes,  one  being  vertical  and  the  other  horizontal,  as 
shown  in  Fig.  1.  These  planes  are  sometimes  designated  V  and  H 
respectively.  The  intersection  of  V  and  H  is  known  as  the  ground 
line  G  L. 

The  view  or  projection  of  the  figure  on  the  plane  gives  the 
same  appearance  to  the  eye  placed  in  a  certain  position  that  the 
object  itself  does.  This  position 
of  the  eye  is  at  an  infinite  dist- 
ance from  the  plane  so  that  the 
rays  from  it  to  points  of  a  limited 
object  are  all  perpendicular  to  the 
plane.  Evidently  then  the  view  of 
a  point  of  the  object  is  on  the  plane 
and  in  the  ray  through  the  point  Pig.  l. 

and  the  eye  or  where  this  perpendicular  to  the  plane  pierces  it. 

Let  a,  Fig.  1,  be  a  point  in  space,  draw  a  perpendicular  from  a 
to  Y.  Where  this  line  strikes  the  vertical  plane,  the  projection  of  a 
is  found,  namely  at  av.  Then  drop  a  perpendicular  from  a  to  the 
horizontal  plane  striking  it  at  «h,  which  is  the  horizontal  projection 
of  the  point.  Drop  a  perpendicular  from  av  to  H;  this  will 
intersect  G  L  at  o  and  be  parallel  and  equal  to  the  line  a  ah.  In 
the  same  way  draw  a  perpendicular  from  ah  to  V,  this  also  will 
intersect  G  L  at  o  and  will  be  parallel  and  equal  to  a  a7.  In  other 
words,  the  perpendicular  to  G  L  from  the  projection  of  a  point  on 
either  plane  equals  the  distance  of  the  point  from  the  other  plane. 
B  in  Fig.  1,  shows  a  line  in  space.  Bv  is  its  V  projection,  and  Bb 


95 


MECHANICAL   DRAWING 


its  H  projection,  these  being  determined  by  finding  views  of  points 
at  its  ends  and  connecting  the  points. 

Instead  of  horizontal  projection  and  vertical  projection,  the 
terms  plan  and  elevation  are  commonly  used. 

Suppose  a  cube,  one  inch  on  a  side,  to  be  placed  as  in  Fig.  2, 
with  the  top  face  horizontal  and  the  front  face  parallel  to  the 
vertical  plane.  Then  the  plan  will  be  a  one-inch  square,  and  the 
elevation  also  a  one-inch  square.  In  general  the  plan  is  a  repre- 
sentation of  the  top  of  the  object,  and  the  elevation  a  view  of  the 
front.  The  plan  then  is  a  top  view,  and  the  elevation  a  front  view. 


V        < 
^ 

£  z 

* 

lrt 

gM 

3H 

H 

Fig.  2. 


Fig.  3. 


Thus  far  the  two  planes  have  been  represented  at  right  angles 
to  each  other,  as  they  are  in  space.  In  order  that  they  may  be 
shown  more  simply  and  on  the  one  plane  of  the  paper,  H  is 
revolved  about  G  L  as  an  axis  until  it  lies  in  the  same  plane  as  V 
as  shown  in  Fig.  2.  The  lines  lb  O  and  2b  N,  being  perpendicular 
to  G  L,  are  in  the  same  straight  line  as  5V  O  and  6V  N,  which  also 
are  perpendicular  to  G  L.  That  is — two  views  of  a  point  are 
always  in  a  line  perpendicular  to  0  L.  From  this  it  is  evident 
that  the  plan  must  be  vertically  below  the  elevation,  point  for  point. 
Now  looking  directly  at  the  two  planes  in  the  revolved  position,  we 


MECHANICAL   DRAWING 


get  a  true  orthographic  projection  of  the  cube  as  shown  in  Fig.  3. 
All  points  on  an  object  at  the  same  height  must  appear  in 
elevation  at  the  same  distance  above  the  ground  line.  If  numbers 
1,  2,  3,  and  4  on  the  plan,  Fig.  3,  indicate  the  top  corners  of  the 
cube,  then  these  four  points,  being  at  the  same  height,  must  be 

4.v  Qv 

shown  in  elevation  at  the  same  height  and  at  the  top,-.^  and  -^-_ 
The  top  of  the  cube,  1,  2, 3, 4,  is  shown  in  elevation  as  the  straight  line 
-^ — _-  .  This  illustrates  the  fact  that  if  a  surface  is  perpendicular 

to  either  plane  or  projection,  its  projection  on  that  plane  is  simply 
a,  line;  a  straight  line  if  the  surface  is  plane,  a  curved  line  if  the 
surface  is  curved.  From  the  same  figure  it  is  seen  that  the  top 
edge  of  the  cube,  1  4,  has  for  its  projection  on  the  vertical  plane 

the  point  -^,  the  principle  of  which  is  stated  in  this  way:  If  a 


r 


H 


stra^gM  vine  is  perpendicular  to  either  V or  H,  its  projection  on 
that  plane  is  a  point,  and  on  the  other  plane  is  a  line  equal  in 
length  to  the  line  itself,  and  perpendicular  to  the  ground  line. 

Fig.  4  is  given  as  an  exercise  to  help  to  show  clearly  the  idea 
of  plan  and  elevation. 

A  =  a  point  B"  above  H,  and  A"  in  front  of  V. 

B  =  square  prism  resting  on  H,  two  of  its  faces  parallel  to  V, 

C  =  circular  disc  in  space  parallel  to  V. 

D  =  triangular  card  in  space  parallel  to  V. 

E  =  cone  resting  on  its  base  on  H. 

F  =  cylinder  perpendicular  to  V,  and  with  one  end  resting  against  V. 

G  =  line  perpendicular  to  H. 

H  =  triangular  pyramid  above  H,  with  its  base  resting  against  V. 


97 


MECHANICAL  DRAWING. 


Suppose  in  Fig.  5,  that  it  is  desired  to  construct  the  pro- 
jections of  a  prism  1|-  in.  square,  and  2  in.  long,  standing  on  one 
end  on  the  horizontal  plane,  two  of  its  faces  being  parallel  to  the 
vertical  plane.  In  the  first  place,  as  the  top  end  of  the  prism  is  a 
square,  the  top  view  or  plan  will  ba  a  square  of  the  same  size, 
that  is,  1|  in.  Then  since  the  prism  is  placed  parallel  to  and  in 
front  of  the  vertical  plane  the  plan,  1^  in.  square,  will  have  two 
edges  parallel  to  the  ground  line.  As  the  front  face  of  the  prism 


t 

1 

| 

ELEVATION 

! 

OR 

*. 

CM 

ELEVATION 

FRONT     VIEW 

1 

1 

1 

1                                     1 

1                                     I               i 

-—  4*  —  • 

PLAN 

OR 

PLAN 

TOP     VIEW 

Pig.  5. 

is  parallel  to  the  vertical  plane  its  projection  on  V  will  be  a  rect- 
angle, equal  in  length  and  width  to  the  length  and  width  respec- 
tively of  the  prism,  and  as  the  prism  stands  with  its  base  on  H, 
the  elevation,  showing  height  above  H,  must  have  its  base  on  the 
ground  line.  Observe  carefully  that  points  in  elevation  are  verti- 
cally over  corresponding  points  in  plan. 

The  second  drawing  in  Fig.  5  represents  a  prism  of  the  same 
size  lying  on  one  side  on  the  horizontal  plane,  and  with  the  ends 
parallel  to  V. 

The  principles  which  have  been  used  thus  far  may  be  stated 
As  follows,  — 


98 


MECHANICAL  DRAWING. 


1.  It'  a  line  or  point  is  on  either  plane,  its  other  projection 
must  be  in  the  ground  line. 

2.  Height  above  H  is  shown  in  elevation  as  height  above 
the  ground  line,  and  distance  in  front  of  the  vertical  plane  is  shown 
in  plan  as  distance  from  the  ground  line. 

3.  If  a  line  is  parallel  to  either  plane,  its  actual  length  is 
shown  on  that  plane,  and    its  other  projection  is.  parallel  to  the 
ground  line.     A  line  oblique  to  either  plane  has  its  projection  on 
that  plane  shorter  than  the  line  itself,  and  its   other  projection 
oblique  to  the  ground  line.    No  projection  can  be  longer  than  the 
line  itself. 

4.  A  plane  surface  if  parallel  to  either  plane,  is  shown  on 


Fig.  6. 


Fig.  7. 


th.it  plane  in  its  true  size  and  shape ;  if  oblique  it  is  shown 
smaller  than  the  true  size,  and  if  perpendicular  it  is  shown  as  a 
straight  line.  Lines  parallel  in  space  must  have  their  V  projec- 
tions parallel  to  each  other  and  also  their  H  projections. 

If  two  lines  intersect,  their  projections  must  cross,  since  the 
point  of  intersection  of  the  lines  is  a  point  on  both  lines,  and 
therefore  the  projections  of  this  point  must  be  on  the  projections 
of  both  lines,  or  at  their  intersection.  In  order  that  intersecting 
lines  may  be  represented,  the  vertical  projections  must  intersect 
in  a  point  vertically  above  the  intersection  of  the  horizontal  pro- 


99 


MECHANICAL  DRAWING. 


jections.  Thus  Fig.  6  represents  two  lines  which  do  intersect  as 
O  crosses  D"at  a  point  vertically  above  the  intersection  of  Ch  and 
D&.  In  Fig.  7,  however,  the  lines  do  not  intersect  since  the  inten- 
sections  of  their  projections  do  not  lie  in  the  same  vertical  line. 

In  Fig.  8  is  given  the  plan  and  elevation  of  a  square  pyramid 
standing  on  the  horizontal  plane.  The  height  of  the  pyramid  is 
the  distance  A  B.  The  slanting  edges  of  the  pyramid,  AC,  AD, 
etc.,  must  be  all  of  the  same  length,  since  A  is  directly  above  the 
center  of  the  base.  What  this  length 
is,  however,'  does  not  appear  in  either 
projection,  as  these  edges  are  not 
parallel  to  either  V  or  H. 

Suppose  that  the  pyramid  be 
turned  around  into  the  dotted  posi- 
tion C,  D,  E,  F,  where  the  horizontal 
projections  of  two  of  the  slanting 
edges,  A  C,  and  A  E,  are  parallel  to 
the  ground  line.  These  two  edges, 
having  their  horizontal  projections 
parallel  to  the  ground  line,  are  now 
parallel  to  V,  and  therefore  their  new 
vertical  projections  will  show  their 
true  lengths.  The  base  of  the  pyra- 
mid is  still  on  H,  and  therefore  is 
projected  on  V  in  the  ground  line. 
The  apex  is  in  the  same  place  as  be- 
fore, hence  the  vertical  projection  of 
the  pyramid  in  its  new  position  is  shown  by  the  dotted  lines.  The 
vertical  projection  A  C,ris  the  true  length  of  edge  A  C.  Now  if 


we  wish  to  find  simply  the  true  length  of  A  C,  it  is  unnecessaiy  to 
turn  the  whole  pyramid  around,  as  the  one  line  A  C  will  be  sufficient. 
The  principle  of  finding  the  true  length  of  lines  is  this,  anu 
can  be  applied  to  any  case  :  Swing  one  projection  of  the  line  par- 
allel to  the  ground  line,  using  one  end  as  center.  On  the  other 
projection  the  moving  end  remains  at  the  same  distance  from  the 
ground  line,  and  of  course  vertically  above  or  below  the  same  end 
in  its  parallel  position.  This  new  projection  of  the  line  shows  [is 
true  length.  See  the  three  Figures  at  the  top  of  page  9. 


10O 


MECHANICAL  DRAWING. 


Third  plane  of  projection  or  profile  plane.       A  plane  perpen- 
dicular to  both  co-ordinate  planes,  and  hence  to  the  ground  line,  is 


called  a  profile  plane.  This  plane  is  vertical  in  position,  and  may 
be  used  as  a  plane  of  projection.  A  projection  on  the  profile  plane 
is  called  a  profile  view,  or  end  view,  or  sometimes  edge  view,  and 
is  often  required  in  machine  or  other  drawing  when  the  plan  and 
elevation  do  not  sufficiently  give  the  shape  and  dimensions. 

A  projection  on  this  plane  is  found  in  the  same  way  as  on  the 


V  plane,  that   is,  by  perpendiculars   drawn  from  points  on  the 
object. 

Since,    however,  the    profile   plane   is   perpendicular  to  the 
ground  line,  it  will  be  seen  from  the  front  and  top  simply  as  a 


101 


MECHANICAL  DRAWING. 


straight  line;  in  order  that  the  size  and  shape  of  the  profile  view 
may  be  shown,  the  profile  plane  is  revolved  into  V  using  its  inter- 
section with  the  vertical  plane  as  the  axis. 

Given  in  Fig.  9,  the  line  A  B  by  its  two  projections  A*7  Bp  and 
Ah  B71,  and  given  also  the  profile  plane.  Now  by  projecting  the 
line  on  the  profile  by  peipendiculars,  the  points  A,*  B,*7  and  B,fc  A,fc 
are  found.  Revolving  the  profile  plane  like  a  door  on  its  hinges,  al) 
points  in  the  plane  will  move  in  horizontal  circles,  so  the  horizontal 
projections  A,71  and  B,71  will  move  in  arcs  of  circles  with  O  as  center 
to  the  ground  line,  and  the  vertical  projections  B,"  and  A,"  will  move 
in  lines  parallel  to  the  ground  line  to  positions  directly  above  the 
revolved  points  in  the  ground  line,  giving  the  profile  view  of  the 
line  Ap  Bp.  Heights,  it  will  be  seen,  are  the  same  in  profile  view 

as  in  elevation.  By  referring  to 
the  rectangular  prism  in  the  same 
figure,  we  see  that  the  elevation 
gives  vertical  dimensions  and  those 
parallel  to  V,  while  the  end  view 
shows  vertical  dimensions  and 
those  perpendicular  to  V.  The 
profile  view  of  any  object  may  be 
found  as  shown  for  the  line  A  B 
by  taking  one  point  at  a  time. 

In  Fig.  10  there  is  repre- 
sented a  rectangular  prism  or 
block,  whose  length  is  twice  the 
width.  The  elevation  shows  its 
height.  As  the  prism  is  placed  at 
an  angle,  three  of  the  vertical  edges  will  be  visible,  the  fourth 
one  being  invisible. 

In  mechanical  drawing  lines  or  edges  which  are  invisible  are 
drawn  dotted.  The  edges  which  in  projection  form  a  part  of  the 
outline  or  contour  of  the  figure  must  always  be  visible,  hence 
always/w7,7,  lines.  The  plan  shows  what  lines  are  visible  in  eleva- 
tion, and  the  elevation  determines  what  are  visible  in  plan.  In 
Fig.  10,  the  plan  shows  that  the  dotted  edge  A  B  is  the  back  edge, 
and  in  Fig.  11,  the  dotted  edge  C  D  is  found,  by  looking  at  the 
elevation,  to  be  the  lower  edge  of  the  triangular  prism.  In  general, 


Fig.  10. 


102 


MECHANICAL  DRAWING. 


11 


if  in  elevation  an  edge  projected  within  the  figure  is  a  back  edge, 
it  must  be  dotted,  and  in  plan  if  an  edge  projected  within  the 
outline  is  a  lower  edge  it  is  dotted. 

Fig.  12  is  a  circular  cylinder  with  the  length  vertical  and 


Fig.  11. 

with  a  hole  part  way  through  as  shown  in  elevation.  Fig.  13  is 
plan,  elevation  and  end  view  of  a  triangular  prism  with  a  square 
hole  from  end  to  end.  The  plan  and  elevation  alone  would  be 
insufficient  to  determine  positively  the  shape  of  the  hole,  but  the 
end  view  shows  at  a  glance  that  it  is  square. 

In  Fig.  14  is  shown  plan  and  elevation  of  the  frustum  of  a 
square  pyramid,  placed  with  its  base  on  the  horizontal  plane.  If  the 
frustum  is  turned  through  80°,  as  shown  in  the  plan  of  Fig.  15, 
the  top  view  or  plan  must  still  be  the  same  shape  and  size,  and  as 
the  frustum  has  not  been  raised  or  lowered,  the  heights  of  all 
points  must  appear  the  same  in  elevation  as  before  in  Fig.  14. 
The  elevation  is  easily  found  by  projecting  points  up  from  the 
plan,  and  projecting  the  height  of  the  top  horizontally  across  from 
the  first  elevation,  because  the  height  does  not  change. 

The  same  principle  is  further  illustrated  in  Figs.  16  and  17. 
The  elevation  of  Fig.  16  shows  a  square  prism  resting  on  one  edge, 
and  raised  up  at  an  angle  of  30°  on  the  right-hand  side.  The 


103 


12 


MECHANICAL  DRAWING. 


plan  gives  the  width  or  thickness,  |  in.     Notice  that  the  length  of 
the  plan  is  greater  than  2  in.   and   that   varying  the  angle  at 

B" 


Fig.  12. 


Fig.  13. 


which  the  prism  is  slanted  would  change  the  length  of  the  plan. 
Now  if  the  prism  be  turned  around  through  any  angle  with  the 
vertical  plane,  the  lower  edge  still  being  on  H,  and  the  inclination 


Fig.  14. 


Fig.  15. 


of  30°  with  H  remaining  the  same,  the  plan  must  remain  the  same 
size  and  shape. 

If  the  angle  through  which  the  prism  be  turned  is  45°,  we 


104 


MECHANICAL  DRAWING. 


have  the  second  plan,  exactly  the  same  shape  and  size  as  the  first 
The  elevation  is  found  by  projecting  the  corners  of  the  prism  vei> 


.  16. 


tically  up  to  the  heights  of  the  same  points  in  the  first  elevation. 
All  the  other  points  are  found  in  the  same  way  as  point  No.  1. 


Fig.  17. 

Three  positions  of  a  rectangular  prism  are  shown  in  Fig.  17. 
In  the  first  view,  the  prism  stands  on  its  base,  its  axis  therefore 


105 


14 


MECHANICAL  DRAWING. 


is  parallel  to  the  vertical  plane.  In  the  second  position,  the  axis  is 
still  parallel  to  V  and  one  corner  of  the  base  is  on  the  horizontal 
plane.  The  prism  has  been  turned  as  if  on  the  line  1A  ~[v  as  an 
axis,  so  that  the  inclination  of  all  the  faces  of  the  prisrn  to  the 
vertical  plane  remains  the  same  as  before.  That  is,  if  in  the  first 
figure  the  side  A  B  C  D  makes  an  angle  of  30°  with  the  vertical, 
the  same  side  in  the  second  position  still  makes  30°  with  the  ver- 


Fig.  18. 

tical  plane.  Hence  the  elevation  of  No.  2  is  the  same  shape  and  size 
as  in  the  first  case.  The  plan  is  found  by  projecting  the  corners 
down  from  the  elevation  to  meet  horizontal  lines  projected  across 
from  the  corresponding  points  in  the  first  plan.  The  third  posi- 
tion shows  the  prism  with  all  its  faces  and  edges  making  the  same 
angles  with  the  horizontal  as  in  the  second  position,  but  with  the 
plan  at  a  different  angle  with  the  ground  line.  The  plan  then  is 
the  same  shape  and  size  as  in  No.  2,  and  the  elevation  is  found  by 
projecting  up  to  the  same  heights  as  shown  in  the  proceeding 
elevation.  This  principle  may  be  applied  to  any  solid,  whether 
bounded  by  plane  surfaces  or  curved. 

This  principle  as  far  as  it  relates  to  heights,  is  the  same  that 
was  used  for  profile  views.  Ail  end  view  is  sometimes  necessary 
before  the  plan  or  elevation  of  an  object  can  be  drawn.  Suppose 
that  in  Fig.  18  we  wish  to  draw  the  plan  and  elevation  of  a  tri- 
angular prism  3"  long,  the  end  of  which  is  an  equilateral  triangle 


106 


MECHANICAL  DRAWING. 


15 


1£"  on  each  side.     The  prism  is  lying  on  one  of  its  three  faces  on 
H,  and  inclined  toward  the  vertical  plane  at  an  angle  of  30°.    We 

are  able  to  draw  the  plan  at 
once,  because  the  width  will  be 
1|  inches,  and  the  top  edge  will 
be  projected  half  way  between 
the  other  two.  The  length  of 
the  prism  will  also  be  shown. 
Before  we  can  draw  the  elevation, 
we  must  find  the  height  of  the 
top  edge.  This  height,  however, 
must  be  equal  to  the  altitude  of 
the  triangle  forming  the  end  of 

Fig.  19.  the  prism.    All  that  is  necessary, 

then,  is  to  construct  an  equilat- 
eral triangle  1^"  on  each  side,  and  measure  its  altitude. 

A  very  convenient  way  to  do  this  is  shown  in  the  figure  by 
laying  one  end  of  the  prism  down  on  H.  A  similar  construction 
is  shown  in  Fig.  19,  but  with  one  face  of  the  prism  on  V  instead 
of  on  H. 

In  all  the  work  thus  far  the  plan  has  been  drawn  below  and 
the  elevation  above.  This  order  is  sometimes  inverted  and  the 
plan  put  above  the  elevation,  but  the  plan  still  remains  a  top  view 
no  matter  where  placed,  so  that  after  some  practice  it  makes  but 
little  difference  to  the  draughtsman  which  method  is  employed. 

SHADE  LINES. 

It  is  often  the  case  in  machine  drawing  that  certain  lines  or 
edges  are  made  heavier  than  others.  These  heavy  lines  are  called 
shade  lines,  and  are  used  to  improve  the  appearance  of  the  draw- 
ing, and  also  to  make  clearer  in  some  cases  the  shape  of  the 
object.  The  shade  lines  are  not  put  on  at  random,  but  according 
to  some  system.  Several  systems  are  in  use,  but  only  that  one 
which  seems  most  consistent  wiH  be  described.  The  shade  lines 
are  lines  or  edges  separating  light  faces  from  dark  ones,  assuming 
the  light  always  to  come  in  a  direction  parallel  to  the  dotted 
diagonal  of  the  cube  shown  in  Fig.  20.  The  direction  of  the 
light,  then,  may  be  represented  on  H  by  a  line  at  45C  running 


107 


16 


MECHANICAL  DRAWING. 


backward  to  the  right  and  on  V  by  a  45°  line  sloping  downward 
and  to  the  right.  Considering  the  cube  in  Fig.  20,  if  the  light 
comes  in  the  direction  indicated,  it  is  evident  that  the  front,  left- 
hand  side  and  top  will  be  light,  and  the  bottom,  back  and  right- 
hand  side  dark.  On  the  plan,  then,  the  shade  lines  will  be  the 
back  edge  1  2  and  the  right-hand  edge  2  3,  because  these  edges 
are  between  light  faces  and  dark  ones.  On  the  elevation,  since 
the  front  is  light,  and  the  right-hand  side  and  bottom  dark,  the  edges 
3  7  and  8  7  are  shaded.  As  the  direction  of  the  light  is  represented 
on  the  plan  by  45°  lines  and  on  the  elevation  also  by  45°  lines, 


\ 


Fig.  20. 

we  may  use  the  45°  triangle  with  the  T-square  to  determine 
the  light  and  dark  surfaces,  and  hence  the  shade  lines.  If 
the  object  stands  on  the  horizontal  plane,  the  45°  triangle  is  used 
on  the  plan,  as  shown  in  Fig.  21,  but  if  the  length  is  perpen- 
dicular to  the  vertical  plane,  the  45°  triangle  is  used  on  the  eleva- 
tion, as  shown  in  Fig.  22.  This  is  another  way  of  saying  that  the 
45°  triangle  is  used  on  that  projection  of  the  object  which  shows 
the  end.  By  applying  the  triangle  in  this  way  we  determine  the 
light  and  dark  surfaces,  and  then  put  the  shade  lines  between 
them.  Dotted  lines,  however,  are  never  shaded,  so  if  a  line 
which  is  between  a  light  and  a.  dark  surface  is  invisible  it  is  not 


108 


MECHANICAL     DRAWING. 


17 


shaded.     In  Fig.  21  the  plan  shows  the  end  of  the  solid,  hence  the 
45°  triangle  is  used  in  the  direction  indicated  by  the  arrows. 

This  shows  that  the  light  strikes  the  left-hand  face,  but  not 
the  back  or  the  right-hand.     The  top  is  known  to  be  light  with- 


Fig.  21. 


Fig.  22. 


out  the  triangle,  as  the  light  comes  downward,  so  the  shade  edges 
on  the  plan  are  the  back  and  right-hand.  On  the  elevation  two 
faces  of  the  prism  are  visible ;  one  is  light,  the  other  dark,  hence 
the  edge  between  is  shaded.  The  left-hand  edge,  being  between 
a  light  face  and  a  dark  one  is  a  shade  line.  The  right-hand  face 
is  dark,  the  top  of  the  prism  is  light,  hence  the  upper  edge  of  this 
face  is  a  shade  line.  The  right-hand  edge  is  not  shaded,  because 
by  referring  to  the  plan,  it  is  seen  to  be  between  two  dark 
surfaces.  In  shading  a  cylinder  or  a  cone  the  same  rule  is  fol 
lowed,  the  only  difference  being  that  as  the  surface  is  curved,  the 
light  is  tangent,  so  an  element  instead  of  an  edge  marks  the 
separation  of  the  dark  from  the  light,  and  is  not  shaded.  The 
elements  of  a  cylinder  or  cone  should  never  be  shaded,  but  the 
bases  may.  In  Fig.  23,  Nos.  3  and  4,  the  student  should  carefully 
notice  the  difference  between  the  shading  of  the  cone  and  cylinder. 


109 


18 


MECHANICAL     DRAWING. 


If  in  No.  4  the  cone  were  inverted,  the  opposite  half  of  the  base 
would  be  shaded,  for  then  the  base  would  be  light,  whereas  it  is 
now  dark.  In  Nos.  7  and  8  the  shade  lines  of  a  cylinder  and  a 
circular  hole  are  contrasted. 

In  No.  7  it  is  clear  that  the  light  would  strike  inside  on  the 
further  side  of  the  hole,  commencing  half  way  where  the  45°  lines 

1234 


5678 

Fig.  23. 

are  tangent.  The  other  half  of  the  inner  surface  would  be  dark, 
hence  the  position  of  the  shade  line.  The  shade  line  then  enables 
us  to  tell  at  a  glance  whether  a  circle  represents  a  hub  or  boss,  or 
depression  or  hole.  Fig.  24  represents  plan,  elevation  and  profile 
view  of  a  square  prism.  Here  as  before,  the  view  showing  the 
end  is  the  one  used  to  determine  the  light  and  dark  surfaces,  and 
then  the  shade  lines  put  in  accordingly. 


110 


MECHANICAL  DRAWING. 


19 


In  putting  on  the  shade  lines,  the  extra  width  of  line  is  put 
inside  the  figure,  not  outside.  In  shading  circles,  the  shade  line 
is  made  of  varying  width,  as  shown  in  the  figures.  The  method 
of  obtaining  this  effect  by  the  compass  is  to  keep  the  same  radius, 
but  to  change  the  center  slightly  in  a  direction  parallel  to  the  rays 
of  light,  as  shown  at  A  and  B  in  No.  2  of  Fig.  24. 

No.  2. 


Fig.  24. 

INTERSECTION  AND  DEVELOPriENT. 

If  one  surface  meets  another  at  some  angle,  an  intersection  is 
produced.  Either  surface  may  be  plane,  or  curved.  If  both  are 
plane,  the  intersection  is  a  straight  line ;  if  one  is  curved,  the 
intersection  is  a  curve,  except  in  a  few  special  cases  ;  and  if  both 
are  curved,  the  intersection  is  usually  curved. 

In  the  latter  case,  the  entire  curve  does  not  always  lie  in  the 
same  planes.  If  all  points  of  any  curve"  lie  in  the  same  plane,  it 
is  called  a  plane  curve.  A  plane  intersecting  a  curved  surface 
must  always  give  either  a  plane  curve  or  a  straight  line. 

In  Fig.  25  a  square  pyramid  is  cut  by  a  plane  A  parallel  to  the 
horizontal.  This  plane  cuts  from  the  pyramid  a  four-sided  figure, 
the  four  corners  of  which  will  be  the  points  where  A  cuts  the  four 
slanting  edges  of  the  solid.  The  plane  intersects  edge  o  I  at  point  4=v 
in  elevation.  This  point  must  be  found  in  plan  vertically  below  on 


111 


MECHANICAL     DRAWING. 


the  horizontal-  projection  of  line  o  5,  that  is,  at  point  4^.  Edge 
o  e  is  directly  in  front  of  o  5,  so  is  shown  in  elevation  as  the  same 
line,  and  plane  A  intersects  o  e  at  point  1»  in  elevation,  found  in 
plan  at  1A  Points  3  and  2  are  obtained  in  the  same  way-  The 
intersection  is  shown  in  plan  as  the  square  1234,  which  is  also 
its  true  size  as  it  is  parallel  to  the  horizontal  plane.  In  a 

similar  way  the  sections  are  found 
in  Figs.  26  and  27.  It  will  be 
seen  that  in  these  three  cases 
where  the  planes  are  parallel  to 
the  bases,  the  sections  are  of  the 
same  shape  as  the  bases,  and  have 
their  sides  parallel  to  the  edges  of 
the  bases. 

It  is  an  invariable  rule  that 
when  such  a  solid  is  cut  by  a  plane 
parallel  to  its  base,  the  section  is 
a  figure  of  the  same  shape  as  the 
base.  If  then  in  Fig.  28  a  right 
cone  is  intersected  by  a  plane 
parallel  to  the  base  the  section 
must  be  a  circle,  the  center  of 
which  in  plan  coincides  with  the  apex.  The  radius  must 
equal  o  d. 

In  Figs.  29  and  30  the  cutting  plane  is  not  parallel  to  the  base, 
hence  the  intersection  will  not  be  of  the  same  shape  as  the  base. 
The  sections  are  found,  however,  in  exactly  the  same  manner  as 
in  the  previous  figures,  by  projecting  the  points  where  the  plane 
intersects  the  edges  in  elevation  on  to  the  other  view  of  the  same 
line. 

INTERSECTION  OF  PLANES  WITH  CONES  OR  CYLINDERS. 

Sections  cut  by  a  plane  from  a  cone  have  already  been  de- 
fined as  conic  sections.  These  sections  may  be  either  of  the  fol- 
lowing: two  straight  lines,  circle,  ellipse,  parabola,  h\"perbola. 
All  except  the  parabola  and  hyperbola  may  also  be  cut  from  a 
cylinder. 

Methods  have   previously  been  given  for   constructing  the 


Fig.  25. 


112 


MECHANICAL     DRAWING. 


Fig.  26. 


Fig.  27. 


Fig.  30. 


113 


22 


MECHANICAL     DRAWING. 


ellipse,  parabola  and  hyperbola  without  projections;  it  will  now 
be  shown  that  they  may  be  obtained  as  actual  intersections. 

In  Fig.    31  the    plane    cuts  the  cone  obliquely.      To    find 
points  on  the .  curve  in  plan  take  a  series   of  horizontal  planes 


Fig.  81. 

x  y  z  etc.,  between  points  <?p  and  d*>.  One  of  these  planes,  as  w, 
should  be  taken  through  the  center  of  c  d.  The  points  c  and  d 
must  be  points  on  the  curve,  since  the  plane  cuts  the  two  contour 
elements  at  these  points.  The  horizontal  projections  of  the  contouf 
elements  will  be  found  in  a  horizontal  line  passing  through  the  center 
of  the  base ;  hence  the  hoiizontal  projection  of  c  and  d  will  be 
found  on  this  center  line,  and  will  be  the  extreme  ends  of  the 
curve.  Contour  elements  are  those  forming  the  oufline. 


114 


MECHANICAL     DRAWING.  23 

The  plane  x  cuts  the  surface  of  the  cone  in  a  circle,  as  it  is 
parallel  to  the  base,  and  the  diameter  of  the  circle  is  the  distance 
between  the  points  where  x  crosses  the  two  contour  elements. 
This  circle,  lettered  x  on  the  plan,  has  its  center  at  the  horizontal 
projection  of  the  apex.  The  circle  x  and  the  curve  cut  by  the  plane 
are  both  on  the  surface  of  the  cone,  and  their  vertical  projec- 
tions intersect  at  the  point  2.  Also  the  circle  x  and  the  curve 
must  cross  twice,  once  on  the  front  of  the  cone  and  once  on  the 
back.  Point  2  then  represents  two  points  which  are  shown  in 
plan  directly  beneath  on  the  circle  z,  and  are  points  on  the  re- 
quired intersection.  Planes  y  and  2,  and  as  many  more  as  may 
be  necessary  to  determine  the  curve  accurately,  are  used  in  the 
same  way.  The  curve  found  is  an  ellipse.  The  student  will 
readily  see  that  the  true  size  of  this  ellipse  is  not  shown  in  the 
plan,  for  the  plane  containing  the  curve  is  not  parallel  to  the 
horizontal. 

In  order  to  find  the  actual  size  of  the  ellipse,  it  is  necessary 
to  place  its  plane  in  a  position  parallel  either  to  the  vertical  or  to 
the  horizontal.  The  actual  length  of  the  long  diameter  of  the 
ellipse  must  be  shown  in  elevation,  c»  d",  because  the  line  is 
parallel  to  the  vertical  plane.  The  plane  of  the  ellipse  then  may 
be  revolved  about  c^  dv  as  an  axis  until  it  becomes  parallel  to  V, 
when  its  true  size  will  be  shown.  For  the  sake  of  clearness  of 
construction,  c»  d»  is  imagined  moved  over  to  the  position  a1  d', 
parallel  to  cv  do.  The  lines  1 — 1,  2 — 2,  3 — 3  on  the  plan  show  the 
true  width  of  the  ellipse,  as  these  lines  are  parallel  to  H,  but  are 
projected  closer  together  than  their  actual  distances.  In  elevation 
these  lines  are  shown  as  the  points  1,  2,  3.  at  their  true  distance 
apart.  Hence  if  the  ellipse  is  revolved  -iro'inu  its  axis  c°  dv,  th.3 
distances  1—1,  2 — 2,  3 — 3  will  appear  perpendicular  to  cv  dv,  and 
the  true  size  of  the  figure  be  shown.  This  construction  is  made  on 
the  left,  where  V — 1',  2' — 2'  and  3' — 3'  are  equal  in  length  to  1 — 1, 
2 — 2,  3 — 3  on  the  plan. 

In  Fig.  32  a  plane  cuts  a  cylinder  obliquely.  This  is  a 
simpler  case,  as  the  horizontal  projection  of  the  curve  coincides 
with  the  base  of  the  cylinder.  To  obtain  the  true  size  of  the 
section,  which  is  an  ellipse,  any  number  of  points  are  assumed  on 
the  plan  and  projected  up  on  the  cutting  plane,  at  1,  2,  3,  etc. 


115 


MECHANICAL     DRAWING. 


The  lines  drawn  through  these  points  perpendicular  to  1  7  are 
made  equal  in  length  to  the  corresponding  distances  2' — 2',  3' — 3' 
etc.,  on  the  plan,  because  2' — 2'  is  the  true  width  of  curve  at  2. 
If  a  cone  is  intersected  by  a  plane  which  is  parallel  to  only 

one  of  the  elements,  as  in 
Fig.  33,  the  resulting  curve 
is  the  parabola,  the  construc- 
tion of  which  is  exactly  simi- 
lar to  that  for  the  ellipse  as 
given  in  Fig.  31.  If  the 
intersecting  plane  is  parallel 
to  more  than  one  element,  or 
is  parallel  to  the  axis  of  the 
cone,  a  hyperbola  is  produced. 
In  Fig.  34,  the  vertical 
plane  A  is  parallel  to  the  axis 
of  the  cone.  In  this  instance 
the  curve  when  found  will 
appear  in  its  true  size,  as 
plane  A  is  parallel  to  the 
vertical.  Observe  that  the 
highest  point  of  the  curve  is 
found  by  drawing  the  circle 
X  on  the  plan  tangent  to  the 
given  plane.  One  of  the 
points  where  this  circle  crosses 
the  diameter  is  projected  up 
to  the  contour  element  of  the 
cone,  and  the  horizontal  plane  X  drawn.  Intermediate  planes 
Y,  Z,  etc.,  are  chosen,  and  corresponding  circles  drawn  in  plan. 
The  points  where  these  circles  are  crossed  by  the  plane  A  are 
points  on  the  curve,  and  these  points  are  projected  up  to  the 
elevation  on  the  planes  Y,  Z,  etc. 

DEVELOPflENTS. 

The  development  of  a  surface  is  the  true  size  and  shape  ot 
the  surface  extended  or  spread  out  on  a  plane.  If  the  surface  to 
be  developed  is  of  such  a  character  that  it  may  be  flattened  out 


116 


MECHANICAL     DRAWING. 


25 


without  tearing  or  folding,  we  obtain  an  exact  development,  as  in 
case  of  a  cone  or  cylinder,  prism  or  pyramid.  If  this  cannot  be 
done,  as  with  the  sphere,  the  development  is  only  approximate. 

In  order  to  find  the  development  of  the  rectangular  prism  in 
Fig  35,  the  back  face,  1  2  7  6,  is  supposed  to  be  placed  in  contact 


with  some  plane,  then  the  prism  turned  on  the  edge  2  7  until  the 
'side  2387  is  in  contact  with  the  same  plane,  then  this  continued 
until  all  four  faces  have  been  placed  on  the  same  plane.  The 
rectangles  1432  and  6785  are  for  the  top  and  bottom  respec- 
tively. The  development  then  is  the  exact  size  and  shape  of  a 
covering  for  the  prism.  If  a  rectangular  hole  is  cut  through  the 
prism,  the  openings  in  the  front  and  back  faces  will  be  shown  in 
the  development  in  the  centers  of  the  two  broad  faces. 

The  development  of  a  right  prism,  then,  consists  of  as  many 


117 


26 


MECHANICAL     DRAWING. 


rectangles  joined  together  as  the  prism  has  sides,  these  rectangles 
being  the  exact  size  of  the  faces  of  the  prism,  and  in  addition  two 
polygons  the  exact  size  of  the  bases.  It  will  be  found  helpful  in 
developing  a  solid  to  number  or  letter  all  of  the  corners  on  the 

projections,  then 
designate  each  face 
when  developed  in 
the  same  way  as  in 
the  figure. 

If  a  cone  be 
placed  on  its  side  on 
a  plane  surface,  one 
element  will  rest  on 
the  surface.  If  now 
the  cone  be  rolled  on 
the  plane,  the  vertex 
remaining  stationary, 
until  the  same  ele- 
ment is  in  contact 
again,  ths  space  rolled 
over  will  represent 
the  development  of 
the  convex  surface 
of  the  cone.  A,  Fig. 
36,  is  a  cone  cut  by  a 
plane  parallel  to  the 
base.  In  B,  let  the 
vertex  of  the  cone  be 
placed  at  V,  and  one  element  of  the  cone  coincide  with  V  A  I. 
The  length  of  this  element  is  taken  from  the  elevation  A,  of 
either  contour  element.  All  of  the  elements  of  the  cone  are  of 
the  same  length,  so  when  the  cone  is  rolled  each  point  of  the  base 
as  it  touches  the  plane  will  be  at  the  same  distance  from  the 
vertex.  From  this  it  follows  that  the  development  of  the  base 
will  be  the  arc  of  a  circle  of  radius  equal  to  the  length  of  an 
element.  To  find  the  length  of  this  arc  which  is  equal  to  the 
distance  around  the  base,  divide  the  plan  of  the  circumference 
of  the  base  into  any  number  of  equal  parts,  a»  twelve,  then 


Fig.  34. 


118 


MECHANICAL     DRAWING. 


27 


with  the  length  of  one  of  these  parts  as  radius,  lay  off  twelve 
spaces,  1. ...13,  join  1  and  13  with  V,  and  the  sector  is  the  development 
of  the  cone  from  vertex  to  base.  To  represent  on  the  development 

4I 


Fig.  35. 

the  circle  cut  by  the  section  plane,  take  as  radius  the  length  of 
the  element  from  the  vertex  to  D,  and  with  V  as  center  describe 


Fig.  36. 

an  arc.     The  development  of  the  frustum  of  the  cone  will  be  the 
portion  of  the  circular  ring.     This  of  course  does  nob  include  the 


119 


MECHANICAL     DRAWING. 


development  of  the  bases,  which  would  be  simply  two  circles  the 
same  sizes  as  shown  in  plan. 

A  and  B,  Fig.  37,  represent  the  plan  and  elevation  of  a 
regular  triangular  pyramid  and  its  development.  If  face  C  is 
placed  on  the  plane  its  true  size  will  be  shown  at  C  in  the  devel- 
opment. The  true  length  of  the  base  of  triangle  C  is  shown  in 
the  plan.  The  slanting  edges,  however,  not  being  parallel  to  the 
vertical,  are  not  shown  in  elevation  in  their  true  length.  It  be- 
comes necessary  then*  to  find  the  true  length  of  one  of  these  edges 
as  shown  in  Fig.  6,  after  which  the  triangle  may  be  irawn  in  its 
full  size  at  C  in  the  development.  As  the  pyramid  is  regular, 
three  equal  triangles  as  shown  developed  at  C,  D  and  E,  together 
with  the  base  F,  constitute  the  development. 

If  a  right  circular  cylinder  is  to  be  developed,  or  rolled  upon 
a  plane,  the  elements,  being  parallel,  will  appear  as  parallel  lines, 


Fig.  87. 

and  the  base,  being  perpendicular  to  the  elements,  will  develop  as 
a  straight  line  perpendicular  to  the  elements.  The  width  of  the 
development  will  be  the  distance  around  the  cylinder,  or  the  cir- 
cumference of  the  base.  The  base  of  the  cylinder  in  Fig.  38,  is 
divided  into  twelve  equal  parts,  123,  etc.  Commencing  at  point 
1  on  the  development  these  twelve  equal  spaces  are  laid  along 
the  straight  line^  giving  the  development  of  the  base  of  the  cylin- 
der, and  the  total  width.  To  find  the  development  of  the  curve 
cut  by  the  oblique  plane,  draw  in  elevation  the  elements  corre- 
sponding to  the  various  divisions  of  the  base,  and  note  the  points 


120 


MECHANICAL     DRAWING. 


29 


where  they  intersect  the  oblique  plane.  As  'we  roll  the  cylinder 
beginning  at  point  1,  the  successive  elements  1,  12,  11,  etc.,  will 
appear  at  equal  distances  apart,  and  equal  in  length  to  the  lengths 
of  the  same  elements  in  elevation.  Thus  point  number  10  on  the 
development  of  the  curve  is  found  by  projecting  horizontally  across 
from  10  in  elevation.  It  will  be  seen  that  the  curve  is  symmetri- 
cal, the  half  on  the  left  of  7  being  similar  to  that  on  the  right. 
The  development  of  any  curve  whatever  on  the  surface  of  the 
cylinder  may  be  found  in  the  same  manner. 

:  The  principle  of  cylinder  development  is  used  in  laying  out 
elbow  joints,  pipe  ends  cut  off  obliquely,  etc.  In  Fig.  39  is  shown 
plan  and  elevation  of  a  three-piece  elbow  and  collar,  and  develop- 


I      12     11     10     9     Q     7      6     5     4     3      2     J 


Fig.  88. 

ments  of  the  four  pieces.  In  order  to  construct  the  various  parts 
making  up  the  joint,  it  is  necessary  to  know  what  shape  and  size 
must  be  marked  out  on  the  flat  sheet  metal  so  that  when  cut  out 
and  rolled  up  the  three  pieces  will  form  cylinders  with  the  ends 
fitting  together  as  required.  Knowing  the  kind  of  elbow  desired, 
we  first  draw  the  plan  and  elevation,  and  from  these  make  the 
developments.  Let  the  lengths  of  the  three  pieces  A,  B  and  C 
be  the  same  on  the  upper  outside  contour  of  the  elbow,  the  piece 
B  at  an  angle  of  45°;  the  joint  between  A  and  B  bisects  the 
angle  between  the  two  lengths,  and  in  the  same  way  the  joint 
between  B  and  C.  The  lengths  A  and  C  will  then  be  the  same, 


121 


30 


MECHANICAL     DRAWING. 


and  one  pattern  will  answer  for  both.  The  development  of  A 
is  made  exactly  as  just  explained  for  Fig.  38,  and  this  is  also  the 
development  of  C. 

It  should  be  borne  in  mind  that  in  developing  a  cylinder  we 
must  always  have  a  base  at  right  angles  to  the  elements,  and  if 
the  cylinder  as  given  does  not  have  such  a  base,  it  becomes  neces- 
sary to  cut  the  cylinder  by  a  plane  perpendicular  to  the  elements, 
and  use  the  intersection  as  a  base.  This  point  must  be  clearly 
understood  in  order  to  proceed  intelligently.  A  section  at  right 
angles  to  the  elements  is  the  only  section  which  will  unroll  in  a 


Fig.  39. 

straight  line,  and  is  therefore  the  section  from  which  we  must 
work  in  developing  other  sections.  As  B  has  neither  end  at  right 
angles  to  its  length,  the  plane  X  is  drawn  at  the  middle  and  per- 
pendicular to  the  length.  B  is  the  same  diameter  pipe  as  C  and 
A,  so  the  section  cut  by  X  will  be  a  circle  of  the  same  diameter 
as  the  base  of  A,  and  its  development  is  shown  at  X. 

From  the  points  where  the  elements  drawn  on  the  elevation 
of  A  meet  the  joint  between  A  and  B,  elements  are  drawn  on  B, 


122 


MECHANICAL     DRAWING. 


81 


which  are  equally  spaced  around  B  the  same  as  on  A.  The  spaces 
then  laid  off  along  X  are  the  same  as  given  on  the  plan  of  A, 
Commencing  with  the  left-hand  element  in  B,  the  length  of  the 
upper  element  between  X  and  the  top  corner  of  the  elbow  is  laid 
off  above  X,  giving  the  first  point  in  the  development  of  the  end 
of  B  fitting  with  C.  The  lengths  of  the  other  elements  in  the 
elevation  of  B  are  measured  in  the  same  way  and  laid  off  from  X. 
The  development  of  the 
other  end  of  the  piece 
B  is  laid  off  below  X, 
using  the  same  distances, 
since  X  is  half  way  be- 
tween the  ends.  The 
development  of,  the 
collar  is  simply  the  de. 
velopment  of  the  frus- 
tum of  a  cone,  which  has 
already  been  explained, 
Fig.  36.  The  joint  be- 
tween B  and  C  is  shown 
in  plan  as  an  ellipse,  the 
construction  of  which 
the  student  should  be 
able  to  understand  from 
a  study  of  the  figure. 

The  intersection  of 
a  rectangular  prism  and 
pyramid  is  shown  in  Fig.  40.  The  base  b  c  d  e  of  the  pyramid  is 
shown  dotted  in  plan,  as  it  is  hidden  by  the  prism.  All  four  edges 
of  the  pyramid  pass  through  the  top  of  the  prism,  1,  2,  3,  4.  As 
the  top  of  the  prism  is  a  horizontal  plane,  the  edges  of  the  pyramid 
are  shown  passing  through  the  top  in  elevation  at  x*  g*  Jc"  {».  These 
four  points  might  be  projected  to  the  plan  on  the  four  edges  of  the 
pyramid ;  but  it  is  unnecessary  to  project  more  than  one,  since  the 
general  principle  applies  here  that  if  a  cone,  pyramid,  prism  or 
cylinder  be  cut  by  a  plane  parallel  to  the  base,  the  section  is  a 
figure  parallel  and  similar  to  the  base.  The  one  point  xv  is  there- 
fore projected  down  to  a  b  in  plan,  giving  xh^  and  with  this  a<j 


Fig.  40. 


123 


32 


MECHANICAL     DRAWING. 


one  corner,  the  square  %h  gl1  ih  kh  is  drawn,  its  sides  parallel  to  the 
edges  of  the  base.  This  square  is  the  intersection  of  the  pyramid 
with  the  top  of  the  prism. 

The  intersection  of  the  pyramid  with  the  bottom  of  the  prism 
is  found  in  like  manner,  by  taking  the  point  where  one  edge  of 
the  pyramid  as  a  b  passes  through  the  bottom  of  the  prism  shown 
in  elevation  as  point  w»,  projecting  down  to  mh  on  ah  W,  and 
drawing  the  square  mh  njl  oh  ph  parallel  to  the  base  of  the  pyramid. 
These  two  squares  constitute  the  entire  intersection  of  the  two 
solids,  the  pyramid  going  through  the  bottom  and  coming  out  at 
the  top  of  the  prism.  As  much  of  the  slanting  edges  of  the 


Fig.  41. 

pyramid  as  are  above  the  prism  will  be  seen  in  plan,  appearing  as 
the  diagonals  of  the  small  square,  and  the  rest  of  the  pyramid, 
being  below  the  top  surface  of  the  prism,  will  be  dotted  in  plan. 
Fig.  41  is  the  development  of  the  rectangular  prism,  show- 
ing the  openings  in  the  top  and  bottom  surfaces  through  which 
the  pyramid  passed.  The  development  of  the  top  and  bottom, 
back  and  front  faces  will  be  four  rectangles  joined  together,  the 
same  sizes  as  the  respective  faces.  Commencing  with  the  bottom 
face  5678,  next  would  come  the  back  face  6127,  then  the  top, 
etc.  The  rectangles  at  the  ends  of  the  top  face  1234  are  the 
ends  of  the  prism.  These  might  have  been  joined  on  any  other 


124 


MECHANICAL     DRAWING.  33 

face  as  well.  Now  find  the  development  of  the  square  in  the  bottom 
5678.  As  the  size  will  be  the  same  as  in  projection,  it  only  re- 
mains to  determine  its  position.  This  position,  however,  will 
have  the  same  relation  to  the  sides  of  the  rectangle  as  in  the  plan. 
The  center  of  the  square  in  this  case  is  in  the  center  of  the  face. 
To  transfer  the  diagonals  of  the  square  to  the  development,  extend 
them  in  plan  to  intersect  the  edges  of  the  prism  in  points  9,  10, 
11  and  12.  Take  the  distance  from  5  to  9  along  the  edge  5  6, 
and  lay  it  on  the  development  from  5  along  5  6,  giving  point  9. 
Point  10  located  in  the  same  way  and  connected  with  9,  gives  the 
position  of  one  diagonal.  The  other  diagonal  is  obtained  in  a 
similar  way,  then  the  square  constructed  on  these  diagonals.  The 
same  method  is  used  for  locating  the  small  square  on  the  top  face. 

If  the  intersection  of  a  cylinder  and  prism  is  to  be  found,  we 
may  either  obtain  the  points  where  elements  of  the  cylinder  pierce 
the  prism,  or  where  edges  and  lines  parallel  to  edges  on,  the  sur- 
face of  the  prism  cut  the  cylinder. 

A  series  of  parallel  planes  may  also  be  taken  cutting  curves 
from  the  cylinder  and  straight  lines  from  the  prism ;  the  intersec- 
tions give  points  on  the  intersection  of  the  two  solids. 

Fig.  42  represents  a  triangular  prism  intersecting  a  cylinder. 
The  axis  of  the  prism  is  parallel  to  V  and  inclined  to  H.  Starting 
with  the  size  and  shape  of  the  base,  this  is  laid  off  at  a{  bh  ch,  and 
the  altitude  of  the  triangle  taken  and  laid  off  at  av  c°  in  elevation, 
making  right  angles  with  the  inclination  of  the  axis  to  H.  The 
plan  of  the  prism  is  then  constructed-.  To  find  the  intersection  of 
the  two  solids,  lines  are  drawn  oh  the  surface  of  the  prism  parallel 
to  the  length  and  the  points  where  these  lines  and  the  edges 
pierce  the  cylinder  are  obtained  and  joined,  giving  the  curve. 

The  top  edge  of  the  prism  goes  into  the  top  of  the  cylinder. 
This  point  will  be  shown  in  elevation,  since  the  top  of  the  cylinder 
is  a  plane  parallel  to  H  and  perpendicular  to  V,  and  therefore 
projected  on  V  as  a  straight  line.  The  upper  edge,  then,  is  found 
to  pass  into  the  top  of  the  cylinder  at  point  0,  ov  and  oh.  The 
intersection  of  the  two  upper  faces  of  the  prism  with  the  top  of 
the  cylinder  will  be  straight  lines  drawn  from  point  o  and  will  be 
shown  in  plan.  If  we  can  find  where  another  line  of  the  surface 
o  a  b  14  pierces  the  upper  base  of  the  cylinder,  this  point  joined 


123 


34 


MECHANICAL     DRAWING. 


with  o  will  determine  the  intersection  of  this  face  with  the  top  of 
the  cylinder.  A  surface  may  always  be  produced,  if  necessary, 
to  find  an  intersection. 

Edge  a  b  pierces  the  plane  of  the  top  of  the  cylinder  at  point 


d>  seen  in  elevation ;  therefore  the  line  joining  this  point  with  o  is 
the  intersection  of  one  upper  face  of  the  prism  with  the  upper 


126 


MECHANICAL     DRAWING. 


base  of  the  cylinder.  The  only'part  of  this  line  needed,  of  course, 
is  within  the  actual  limits  of  the  base,  that  is  o  9.  The  intersec- 
tion o  8  of  the  other  top  face  is  found  by  the  same  method.  On 
the  convex  surface  of  the  cylinder  there  will  be  three  curves,  one 
for  each  face  of  the  prism.  Points  b  and  9  on  the  upper  base  of 
the  cylinder,  will  be  where  the  curves  for  the  two  upper  faces  will 
begin.  The  point  d  is  found  on  the  revolved  position  of  the  base 
at  dp  and  d\  b  is  divided  into  the  equal  parts  dt  —  e,,  «,  — /,  etc., 
which  revolve  back  to  dh,  eh,fh  and  gh.  The  divisions  are  made 
equal  merely  for  convenience  in  developing.  The  vertical  pro- 
jections of  c?,  e,  etc.,  are  found  on  the  vertical  projection  of  a  6, 
directly  above  dh,  e\  etc.,  or  may  be  found  by  taking  from  the 
revolved  position  of  the  base,  the  perpendiculars  from  d{  e,  etc.,  to 
ch  bh  and  laying  them  off  in  elevation  from  bv  along  bv  av.  Lines 
such  as/ 12,  m  5,  etc.,  parallel  to'  a  o  are  drawn  in  plan  and  eleva- 
tion. Points  ih  Tch  mh  nh  are  taken  directly  behind  dh  ehfhgh 
hence  their  vertical  projections  coincide.  Points  nt  w,  7c,  and  i,  are 
formed  by  projecting  across  from  nh  mh  kh  and  ih. 

The  convex  surface  of  the  cylinder  is  perpendicular  to  H,  so 
the  points  where  the  lines  on  the  prism  pierce  it  will  be  projected 
on  plan  as  the  points  where  these  lines  cross  the  circle,  14,  13, 12, 

11 3.  The  vertical  projections  of  these -points  are  found  on 

the  corresponding  lines  in  elevation,  and  the  curves  drawn  through. 
The  curve  3,  4.. ..8  must  be  dotted,  as  it  is  on  the  back  of  the 
cylinder.  The  under  face  of  the  prism,  which  ends  with  the  line 
b  c,  is  perpendicular  to  the  vertical  plane,  so  the  curve  of  intersec- 
tion will  be  projected  on  V  as  a  straight  line.  Point  14  is  one 
end  of  this  curve.  3  the  other  end,  and  the  curve  is  projected  in 
elevation  as  the  straight  line  from  14  to  the  point  where  the  lower 
edge  of  the  prism  crosses  the  contour  element  of  the  cylinder. 

Fig.  43  gives  the  development  of  the  right-hand  half  of  the 
cylinder,  beginning  with  number  1 .  As  previously  explained,  the 
distance  between  the  elements  is  shown  in  the  plan,  as  1 — 2,  2 — 3, 
3 — 4  and  so  on.  These  spaces  are  laid  off  in  the  development 
along  a  straight  line  representing  the  development  of  the  base, 
and  from  these  points  the  elements  are  drawn  perpendicularly. 

The  lengths  of  the  elements  in  the  development  from  the  base 
to  the  curve  are  exactly  the  same  as  on  the  elevation,  as  the 


127 


36 


MECHANICAL     DRAWING. 


elevation  gives  the  true  lengths.  If  then  the  development  of  the 
base  is  laid  off  along  the  same  straight  line. as  the  vertical  projec- 
tion of  the  base,  the  points  in  elevation  may  be  projected  across 
with  the  T-square  to  the  corresponding  elements  in  the  develop- 
ment. The  points  on  the  curve  cut  by  the  under  face  of  the 
prism  are  on  the  same  elements  as  the  other  curves,  and  their 
vertical  projections  are  on  the  under  edge  of  the  prism,  hence 
these  points  are  projected  across  for  the  development  of  the  lower 
curve. 

In  Fig.  44  is  given  the  development  of  the  prism  from  the 
right-hand  end  as  far  as  the  intersection  with  the  cylinder,  begin- 


Fig.  44. 

ning  at  the  left  with  the  top  edge  a  o,  the  straight  line  a  b  c  a 
.being  the  development  of  the  base.  As  this  must  be  the  actual 
distance  around  the  base,  the  length  is  taken  from  the  true  size 
of  the  base,  a,  bh  ch.  The  parallel  lines  drawn  on  the  surfaces  of 
the  prism  must  appear  on  the  development  their  true  distances 
apart,  hence  the  distances  a,  d\,  d\  e^  etc.,  are  made  equal  to 
a  (7,  d  e,  etc.  on  the  development.  The  actual  distances  between  the 
parallel  lines  on  the  bottom  face  of  the  prism  are  shown  along 
the  edge  of  the  base,  bh  ch.  Perpendicular  lines  are  drawn  from 
the  points  of  division  on  the  development. 

The  position  of  the  developed  curve  is  found  by  laying  off 
the  true  lengths  on  the  perpendiculars.  These'  true  lengths  (of 
the  parallel  lines)  are  not  shown  in  plan,  as  the  lines  are  not 
parallel  to  the  horizontal  plane,  but  are  found  in  elevation.  The 
length  oa  on  the  development  is  equal  to  av  ov,  d  10  to  dv  1 0,  and 


128 


MECHANICAL   DKAWING 


37 


so  on  for  all  the  rest.  Point  9  is  found  as  follows:  on  the  projec- 
tions, the  straight  line  from  o  to  d  passes  through  point  9,  and  the 
true  distance  from  o  to  9  is  shown  in  plan.  All  that  is  necessary, 
then,  is  to  connect  o  and  d  on  the  development,  and  lay  off  from  o 
the  distance  0h9.  Number  8  is  found  in  the  same  way. 

ISOMETRIC  PROJECTION. 

Heretofore  an  object  has  been  represented  by  two  or  more 
projections.  Another  system,  called  isometrical  drawing,  is  used 
to  show  in  one  view  the  three  dimensions  of  an  object,  length  (or 
height),  breadth,  and  thickness.  An  isometrical  drawing  of  an 
object,  as  a  cube,  is  called  for  brevity  the  "  isometric  "  of  the  cube. 


Fig.  45. 

To  obtain  a  view  which  shows  the  three  dimensions  in  such  a 
way  that  measurements  can  be  taken  from  them,  draw  the  cube  in 
the  simple  position  shown  at  the  left  of  Fig.  45,  in  which 
it  rests  on  H  with  two  faces  parallel  to  V;  the  diagonal  from  the 
front  upper  right-hand  corner  to  the  back  lower  left-hand  corner  is 
indicated  by  the  dotted  line.  Swing  the  cube  around  until  the 
diagonal  is  parallel  with  V  as  shown  in  the  second  position.  Here 
the  front  face  is  at  the  right.  In  the  third  position  the  lower  end 
of  the  diagonal  has  been  raised  so  that  it  is  parallel  to  H,  becoming 
thus  parallel  to  both  planes.  The  plan  is  found  by  the  principles 
of  projection,  from  the  elevation  and  the  preceding  plan.  The  front 
face  is  now  the  lower  of  the  two  faces  shown  in  the  elevation. 
From  this  position  the  cube  is  swung  around,  using  the  corner 


129 


38 


MECHANICAL   DKAWING 


resting  on  the  H  as  a  pivot,  until  the  diagonal  is  perpendicular 
to  V  but  still  parallel  to  H.  The  plan  remains  the  same,  except  as 
regards  position;  while  the  elevation,  obtained  by  projecting  across 
from  the  previous  elevation,  gives  the  isometrical  projection  of  the 
cube.  The  front  face  is  now  at  the  left. 

In  the  last  position,  as  one  diagonal  is  perpendicular  to  V,  it 
follows  that  all  the  faces  of  the  cube  make  equal  angles  with  V, 
hence  are  projected  on  that  plane  as  equal  parallelograms.  For  the 
same  reason  all  the  edges  of  the  cube  are  projected  in  elevation  in 
equal  lengths,  but,  being  inclined  to  V,  appear  shorter  than  they 
actually  are  on  the  object.  Since  they  are  all  equally  foreshortened 
and  since  a  drawing  may  be  made  at  any  scale,  it  is  customary  to 

make  all  the  isometrical  lines  of  a 
drawing  full  length.  This  will  give 
the  same  proportions,  and  is  much 
the  simplest  method.  Herein  lies 
the  distinction  between  an  isomet- 
rical projection  and  an  isometric 
drawing. 

It  will  be  noticed  that  the 
figure  can  be  inscribed  in  a  circle, 
and  that  the  outline  is  a  perfect 
hexagon.  Hence  the  lines  showing 
breadth  and  length  are  30°  lines, 
while  those  showing  heigh*  are 
vertical. 

Fig.  46  shows  the  isometric  of  a  cube,  1  iocb  square.  All  of 
the  edges  are  shown  in  their  true  length,  hence  all  the  surfaces 
appear  of  the  same  size.  In  the  figure  the  edges  of  the  base  are 
inclined  at  30°  with  a  T-square  line,  but  this  is  not  always  the  case. 
For  rectangular  objects,  such  as  prisms,  cubes,  etc.,  the  base 
edges  are  at  30°  only  when  the  prism  or  cube  is  supposed  to  be  in 
the  simplest  possible  position.  The  cube  in  Fig.  46  is  supposed  to 
bo  in  the  position  indicated  by  plan  and  elevation  in  Fig.  47,  that 
is,  standing  on  its  base,  with  two  faces  parallel  to  the  vertical 
plane. 

If  the  isometric  of  the  cube  in  the  position  of  Fig.  48  were 
required,  it  could  not  be  drawn  with  the  base  edges  at  30°;  neither' 


Fig.  46. 


130 


MECHANICAL   DRAWING 


39 


would  these  edges  appear  in  their  true  lengths.  It  follows,  then, 
that  in  isometrical  drawing,  true  lengths  appear  only  as  30°  lines 
or  as  vertical  lines.  Edges  or  lines  that  in  actual  projection  are 
either  parallel  to  the  ground  line  or  perpendicular  to  V,  are  drawn 
in  isometric  as  30°  lines,  full  length;  and  those  that  are  actually 
vertical  are  made  vertical  in  isometric,  also  full  length. 

In  Fig.  45,  lines  such  as  the  front  vertical  edges  of  the  cube 
and  the  two  base  edges  are  called  the  three  isometric  axes.  The 
isometric  of  objects  in  oblique  positions,  as  in  Fig.  48,  can  be  con- 


Fig.  47.  Fig.  48. 

structed  only  by  reference  to  their  projections,  by  methods  which 
will  be  explained  later. 

In  isometric  drawing  small  rectangular  objects  are  more  satis- 
factorily represented  than  large  curved  ones.  In  woodwork,  mor- 
tises and  joints  and  various  parts  of  framing  are  well  shown  in 
isometric.  This  system  is  used  also  to  give  a  kind  of  bird's-eye 
view  of  the  mills  or  factories.  It  is  also  used  in  making  sketches 
of  small  rectangular  pieces  of  machinery,  where  it  is  desirable  to 
give  shape  and  dimensions  in  one  view. 

In  isometric  drawing  the  direction  of  the  ray  of  light  is 
parallel  to  that  diagonal  of  a  cube  which  runs  from  the  upper  left 
corner  to  the  lower  right  corner,  as  4V-7V  in  the  last  elevation  of 
Fig.  45.  This  diagonal  is  at  30° ;  hence  in  isometrical  drawing 
the  direction  of  the  light  is  at  30°  downward  to  the  right.  From 


131 


MECHANICAL   DRAWING 


this  it  follows  that  the  top  and  two  left-hand  faces  of  the  cube  are 
light,  the  others  dark.     This  explains  the  shade  lines  in  Fig.  45. 

In  Fig.  45,  the  top  end  of  the  diagonal  which  is  parallel  to  the 
ray  of  light  in  the  first  position  is  marked  4,  and  traced  through 
to  the  last  or  isometrical  projection,  4V.  It  will  be  seen  that  face 
3V  4V  5V  8V  of  the  isometric  projection  is  the  front  face  of  the  cube 
in  the  first  view;  hence  we  may  consider  the  left  front  face  of  the 
isometric  cube  as  the  front.  This  is  not  absolutely  necessary, 
but  by  so  doing  the  isometric  shade  edges  are  exactly  the  same 
as  on  the  original  projection. 


Fig.  49.  Fig.  50. 

Fig.  49  shows  a  cube  with  circles  inscribed  in  the  top  and 
two  side  faces.  The  isometric  of  a  circle  is  an  ellipse,  the  exact 
construction  of  which  would  necessitate  finding  a  number  of  points ; 
for  this  reason  an  approximate  construction  by  arcs  of  circles  is 
often  made.  In  the  method  of  Fig.  49,  four  centers  are  used. 
Considering  the  upper  face  of  the  cube,  lines  are  drawn  from  the 
obtuse  angles/" and  e,  to  the  centers  of  the  opposite  sides. 

The  intersections  of  these  lines  give  points  g  and  A,  which 
serve  as  centers  for  the  ends  of  the  ellipse.  With  center  g  and 
radius  g  a,  the  arc  a  d  is  drawn;  and  with/"  as  center  and  radius 
f  d,  the  arc  d  c  is  described,  and  the  ellipse  finished  by  using 
centers  Ji  and  e.  This  construction  is  applied  to  all  three  faces. 

Fig.  50  is  the  isometric  of  a  cylinder  standing  on  its  base. 


132 


MECHANICAL    DRAWING 


41 


Notice  that  the   shade  line  on  the  top  begins   and  ends  where 

T-square  lines  would  be  tangent  to  the  curve,  and  similarly  in  the 

case  of  the  part  shown  on  the  base.     The  explanation  of  the  shad? 

is  very  similar  to  that  in  pro-  <*, 

jections.  Given  in  projections 

a  cylinder  standing    on    its 

base,  the  plan  is  a  circle,  and 

the  shade  line  is  determined 

by  applying  the  45°  triangle 

tangent  to  the  circle.     This  is 

done  because  the  45°  line  is 

the  projection  of  the  ray  of 

light    on  the   plane   of     the 

base. 

In  Fig.  49,  the  diagonal  m  I  may  represent  the  .ray  of  light 
and  its  projection  on  the  base  is  seen  to  be  k  I,  the  diagonal  of  the 
base,  a  T-square  line.  Hence,  for  the  cylinder  of  Fig.  50,  apply 
tangent  to  the  base  and  also  to  the  top  a  line  parallel  to  the 
projection  of  the  ray  of  light  on  these  planes,  that  is,  a  T-square 
line,  and  this  will  mark  the  beginning  and  ending  of  the  shade  line. 
In  Fig.  49  the  projection  of  the  ray  of  light  diagonal  m  I  on 
the  right-hand  face  is  e  I,  a  30° 
line;  hence,  in  Fig.  51,  where  the 
base  is  similarly  placed,  apply 
the  30°  triangle  tangent  as  indi- 
cated, determining  the  shade  line 
of  the  base.  If  the  ellipse  on 
the  left-hand  face  of  the  cube  were 
the  base  of  a  cone  or  cylinder 
extending  backward  to  the  right, 
the  same  principle  would  be  used. 

The  projection  of  the  cube  diagonal  m  I  on  that  face  is  m  n,  a 
60°  line;  hence  the  60°  triangle  would  be  used  tangent  to  the  base 
in  this  last  supposed  case,  giving  the  ends  of  the  shade  line  at 
points  o  and  r.  Figs.  52,  53  and  54  illustrate  the  same  idea  with 
respect  to  prisms,  the  direction  of  the  projection  of  the  ray  of  light 
on  the  plane  of  the  base  being  used  in  each  case  to  determine  the 
light  and  dark  faces  and  hence  the  shade  lines. 


Fig.  52. 


133 


42 


MECHANICAL   DRAWING 


In  Fig.  52  a  prism  is  represented  standing  on  its  base,  so  that 

the  projection  of  the  cube  diagonal  on  the  base  (that  is,  a  T-square 

line)  is  used  to  determine  the  light  and  dark  faces  as  shown. 

The  prism  in  Fig.  53  has  for 
its  base  a  trapezium.  The 
projection  of  the  ray  of  light 
on  this  end  is  parallel  to  the 
diagonal  of  the  face;  hence 
the  60°  triangle  applied  par- 
allel to  this  diagonal  shows 
that  faces  a  c  d  b  and  a  g  h  b 
are  light,  while  c  e  f  d  and 
g  e  f  h  are  dark,  hence  the 
shade  lines  as  shown. 

The  application  in  Fig. 
54    is    the    same,    the    only 

difference  being  in  the  position  of  the  prism,  and  the  consequent 

difference  in  the  direction  of  the  diagonal. 

Fig.  55  represents  a  block  with  smaller  blocks  projecting  from 

three  faces. 

Fig.  56  shows  a  framework  of  three  pieces,  two  at  right  angles 

and  a  slanting  brace.     The  horizontal  piece  is  mortised  into  the 

upright,  as  indicated  by  the 

dotted  lines.     In  Fig.  57 

the  isometric  outline  of  a 

house  is  represented,  show- 
ing a  dormer  window  and 

a  partial  hip  roof;  a  b  is  a 

hip  rafter,  cda  valley.   Let 

the  pitch  of  the  main  roof 

be  shown  at  B,  and  let  m  be 

the  middle  point  of  the  top 

of    the    end  wall   of    the 

house.  Then,  by  measuring 

vertically  up  a  distance  m  I 

equal  to  the  vertical  height 


Fig.  54. 


a  n  shown  at  B,  a  point  on  the  line  of  the  ridge  will  be  found  at  I. 
Line  li  is  equal  to  b  h,  and  i  Ji  is  then  drawn.     Let  the  pitch  of 


134 


MECHANICAL   DRAWING 


43 


the  end  roof  be  given  at  A.  This  shows  that  the  peak  of  the  roof, 
or  the  end  a  of  the  ridge,  will  be  back  from  the  end  wall  a  distance 
equal  to  the  base  of  the  triangle  at  A.  Hence  lay  off  from  I  this 
distance,  giving  point  «,  and  join  a  with  J  and  x. 


B 


Fig.  57. 


The  height  k  e  of  the  ridge  of  the  dormer  roof  is  known,  and 
we  must  find  where  this  ridge  will  meet  the  main  roof.  The  ridge 
must  be  a  30°  line  as  it  runs  parallel  to  the  end  wall  of  the  house 


135 


44 


MECHANICAL   DRAWING 


and  to  the  ground.  Draw  from  e  a,  line  parallel  to  ~b  h  to  meet  a 
vertical  through  h  at/.  This  point  is  in  the  vertical  plane  of  the 
end  wall  of  the  house,  hence  in,  the  plane  of  i  h.  If  now  a  30°  line 
be  drawn  from/  parallel  to  x  5,  it  will  meet  the  roof  of  the  house 
at  g.  The  dormer  ridge  and/'*/  are  in  the  same  horizontal  plane, 
hence  will  meet  the  roof  at  the  same  distance  below  the  ridge  a,  i. 
Therefore  draw  the  30°  line  g  c,  and  connect  c  with  d. 

In  Fig.  58  a  box  is  shown  with  the  cover  opened  through  150°. 


Fig.  58. 

The  right-hand  edge  of  the  bottom  shows  the  width,  the  left-hand 
edge  the  length,  and  the  vertical  edge  the  height.  The  short  edges 
of  the  cover  are  not  isometric  lines,  hence  are  not  shown  in  their 
true  lengths;  neither  is  the  angle  through  which  the  cover  is  opened 
represented  in  its  actual  size. 

The  corners  of  the  cover  must  then  be  determined  by  co- 
ordinates from  an  end  view  of  the  box  and  cover.  As  the  end  of 
the  cover  is  in  the  same  plane  as  the  end  of  the  box,  the  simple 


136 


MECHANICAL   DRAWING 


45 


end  view  as  shown  in  Fig.  59  will  be  sufficient.  Extend  the  top  of 
the  box  to  the  right,  and  from  c  and  d  let  fall  perpendiculars  or 
a  1)  produced,  giving  the  points  e  and  f.  The  point  c  may  be 
located  by  means  of  the  two  distances  or  co-ordinates  I  e  and  e  c 


Fig.  59. 

and  these  distances  will  appear  in  their  true  lengths  in  the 
isometric  view.  Hence  produce  a '  5 '  to  e '  and/"' ;  and  from  these 
points  draw  verticals  e'  c'  and/*'  d' ;  make  5'  e'  equal  to  5  e,  e'  c' 
equal  to  e  c\  and  similarly  for  d' ' .  Draw  the  lower  edge  parallel 
to  c'  d'  and  equal  to  it  in  length,  and 
connect  with  J'. 

It  will  be  seen  that  in  isometric  draw- 
ing parallel  lines  always  appear  parallel. 
It  is  also  true  .that  lines  divided  propor- 
tionally maintain  this  same  relation  in 
isometric  drawing. 

Fig.  60  shows  a  block  or  prism  with  a 
semicircular  top.  Find  the  isometric  of 
the  square  circumscribing  the  circle,  then 
draw  the  curve  by  the  approximate  method. 
The  centers  for  the  back  face  are  found 
by  projecting  the  front  centers  back  30° 
equal  to  the  thickness  of  the  prism,  as 
shown  at  a  and  5.  The  plan  and  elevation  of  an  oblique  pentagonal 
pyramid  are  shown  in  Fig.  61.  It  is  evident  that  none  of  the 
edges  of  the  pyramid  can  be  drawn  in  isometric  as  either  vertical 
or  30°  lines;  hence,  a  system  of  co-ordinates  must  be  used  as 


Fig.  60. 


137 


46 


MECHANICAL   DKAWING 


shown  in  Fig.  58.  This  problem  illustrates  the  most  general  case; 
and  to  locate  some  of  the  points  three  co-ordinates  must  be  used, 
two  at  30°  and  one  vertical. 

Circumscribe,  about  the  plan  of  the  pyramid,  a  rectangle  which 
shall  have  its  sides  respectively  parallel  and  perpendicular  to  the 
ground  line.  This  rectangle  is  on  H,  and  its  vertical  projection  is 
in  the  ground  line. 

The  isometric  of  this  rectangle  can  be  drawn  at  once  with  80° 
lines,  as  shown  in  Fig.  62,  o  being  the  same  point  in  both  figures. 


Fig.  62. 


Fig.  61. 

The  horizontal  projection  of  point  3  is  found  in  isometric  at  3h,  at 
the  same  distance  from  o  as  in  the  plan.  That  is,  any  distance 
which  in  plan  is  parallel  to  a  side  of  the  circumscribing  rectangle, 
is  shown  in  isometric  in  its  true  length  and  parallel  to  the  corre- 
sponding side  of  the  isometric  rectangle.  If  point  3  were  on  the 
horizontal  plane  its  isometric  would  be  3h,  but  the  point  is  at  the 
vertical  height  above  H  given  in  the  elevation;  hence,  lay  off  above 
3b  this  vertical  height,  obtaining  the  actual  isometric  of  the  point. 
To  locate  4,  draw  4  a  parallel  to  the  side  of  the  rectangle;  then  lay 


138 


MECHANICAL    DRAWING 


47 


ea 


off  o  a  and  a  4h,  giving  what  may  be  called  the  isometric  plan  of  4 
Next,  the  vertical  height  taken  from  the  elevation  locates  the  iso- 
metric of  the  point  in  space. 
In  like  manner  all  the 
corners  of  the  pyramid,  in. 
eluding  the  apex,  are  located. 
The  rule  is,  locate  first  in 
isometric  the  horizontal  pro- 
jection of  a  point  ly  one  or 
two  30°  co-ordinates;  then 
vertically,  above  this  point, 
its  height  as  taken  from 
the  elevation.  The  shade 
lines  cannot  be  determined 
here  by  applying  the  30°  or 
60°  triangle,  owing  to  the 
obliquity  of  the  faces.  Since 
the  right  front  corner  of  the 
rectangle  in  plan  was  made  the  point  o  in  isometric,  the  shade 
lines  must  be  the  same  in  isometric  as  in  actual  projection ;  so  that, 

if  these  can  be  de- 
termined in  Fig.  61, 
they  may  be  applied 
at  once  to  Fig,  62. 
The  shade  lines 
in  Fig.  61  are  found 
by  a  short  method 
which  is  convenient 
to  use  when  the  exact 
shade  lines  are  de- 
sired, and  when  they 
cannot  be  deter- 
mined by  applying 
the  45°  triangle.  A 
plane  is  taken  at  45° 
with  the  horizontal 
plane,  and  parallel  to  the  direction  of  the  ray  of  light,  in  such  a 
position  as  to  cut  all  the  surfaces  of  the  pyramid,  as  shown  in 


139 


48 


MECHANICAL   DEAWING 


elevation.  This  plane  is  perpendicular  to  the  vertical  plane;  hence 
the  section  it  cuts  from  the  pyramid  is  readily  found  in  plan  by 
projection.  This  plane  contains  some  of  the  rays  of  light  falling 
upon  the  pyramid;  and  we  can  tell  what  surfaces  these  rays'strike 


p 

r 

1 

] 

Fig.  65. 


Fig.  67. 


Fig.  68. 

and  make  light,  by  noticing  on  the  plan  what  edges  of  the  section  are 
struck  by  the  projections  of  the  rays  of  light.  That  is,  r  s,  s  t,  and  t  u 
receive  the  rays  of  light;  hence  the  surfaces  on  which  these  lines  lie 
are  light,  r  s  is  on  the  surface  determined  by  the  two  lines  passing 


140 


MECHANICAL    DRAWING 


49 


through  r  and  s,  namely,  2  —  1  and  1  —  5;  in  other  words,  r  s  is 
011  the  base;  similarly,  s  t  is  on  the  surface  1  —  5  —  6;  and  t  u  on 
the  surface  4  —  6  —  5.  The  other  surfaces  are  dark;  hence  the  edges 
which  are  between  the  light  and  dark  faces  are  the  shade  lines. 

Whenever  it  is  more  convenient,  a  plane  parallel  to  the  ray 
of  light  and  perpendicular  to  H  may  be  taken,  the  section  found 
in  elevation,  and  the  45°  triangle  applied  to  this  section.  The 
same  method  may  be  used  to  determine  the  exact  shade  lines 
of  a  cone  or  cylinder  in  an  oblique  position. 

Figs.  63  to  70  give  examples  of  the  isometric  of  various 
objects.  Fig.  65  is  the  plan  and  elevation,  and  Fig.  66  the 


Fig.  69.  Fig.  70. 

isometric,  of  a  carpenter's  bench.  In  Fig.  70,  take  especial  notice 
of  the  shade  lines.  These  are  put  on  as  if  the  group  were  made 
in  one  piece;  and  the  shadows  cast  by  the  blocks  on  one  another 
are  disregarded.  All  upper  horizontal  faces  are  light,  all  left-hand 
(front  and  back)  faces  light,  and  the  rest  dark. 

OBLIQUE    PROJECTIONS. 

In  oblique  projection,  as  in  isometric,  the  end  sought  for  is 
the  same — a  more  or  lass  complete  representation,  in  one  view,  of 
any  object.  Oblique  projection  differs  from  isometric  in  that  one 
face  of  the  object  is  represented  as  if  parallel  to  the  vertical 
plane  of  projection,  the  others  inclined  to  it.  Another  point  of 

.  r 


141 


50 


MECHANICAL   DKAWING 


difference   is   that  oblique    projection    cannot   be  deduced  frqm 
orthographic  projection,  as  is  isometric. 

In  oblique  projection  all  lines  in  the  front  face  are  shown  in 
their  true  lengths  and  in  their  true  relation  to  one  another,  and 
lines  which  are  perpendicular  to  this  front  face  are  shown  in  their 
true  lengths  at  any  angle  that  may  be  desired  for  any  particular 
case.  Lines  not  in  the  plane  of  the  front  face  nor  perpendicular 


Fig.  71. 


Fig.  72. 


to  it  must  be  determined  by  co-ordinates,  as  in  isometric.  It  will 
be  seen  at  once  that  this  system  possesses  some  advantages  over 
the  isometric,  as,  for  instance,  in  the  representation  of  circles, 


Fig.  73. 


Fig.  74. 


as  any  circle  or  curve  in  the  front  face  is  actually  drawn  as  such. 
The  rays  of  light  are  still  supposed  to  be  parallel  to  the  same 
diagonal  of  the  cube,  that  is,  sloping  downward,  toward  the  plane 
of  projection,  and  to  the  right,  or  downward,  backward  and  to 
the  right.  Figs.  71,  72  and  73  show  a  cube  in  oblique  projection, 


142 


MECHANICAL   DRAWING 


51 


with  the  30°,  45°  and  60°  slant  respectively.  The  dotted  diagonal 
represents  for  each  case  the  direction  of  the  light,  and  the  shade 
lines  follow  from  this. 

The  shade  lines  have  the  same  general  position  as  in  isometric 


Fig.  75.  Fig.  76. 

drawing,  the  top,  front  and  left-hand  faces  being  light.  No  matter 
what  angle  may  be  used  for  the  edges  that  are  perpendicular  to 
the  front  face,  the  projection  of  the  diagonal  of  the  cube  on  this 
face  is  always  a  45°  line;  hence,  for  determining  the  shade  lines  on 


Fig.  77. 

any  front  face,  such  as  the  end  of  the  hollow  cylinder  in  Fig.  74, 
the  45°  line  is  used  exactly  as  in  the  elevation  of  ordinary 
projections. 

Figs.  75,  76,  77  and  79  are  other  examples  of  oblique  projections. 
Fig.  77  is  a  crank  arm. 

The  method  of  using  co-ordinates  for  lines  of  which  the  true 


143 


52 


MECHANICAL   DRAWING 


lengths  are  not  shown,  is  illustrated  by  Figs.  78  and  79.  Fig.  79 
represents  the  oblique  projection  of  the  two  joists  shown  in  plan 
and  elevation  in  Fig.  78.  The  dotted  lines  in  the  elevation  (see 
Fig.  78)  show  the  heights  of  the  corners  above  the  horizontal 
stick.  The  feet  of  these  perpendiculars  give  the  horizontal  dis- 
tances of  the  top  corners  from  the  end  of  the  horizontal  piece. 

In  Fig.  79  lay  off  from  the  upper  right-hand  corner  of  the 
front  end  a  distance  equal  to  the  distance  between  the  front  edge 
of  the  inclined  piece  and  the  front  edge  of  the  bottom  piece  (see 
Fig.  78).  From  this  point  draw  a  dotted  line  parallel  to  the 


Fig.  79 


Fig.  78. 

length.  The  horizontal  distances  from  the  upper  left  corner  to 
the  dotted  perpendicular  are  then  marked  off  on  this  line.  From 
these  points  verticals  are  drawn,  and  made  equal  in  length  to  the 
dotted  perpendiculars  of  Fig.  78,  thus  locating  two  corners  of  the 
end. 

LINE  SHADING. 

In  finely  finished  drawings  it  is  frequently  desirable  to  make 
the  various  parts  more  readily  seen  by  showing  the  graduations  of 
light  and  shade  on  the  curved  surfaces.  This  is  especially  true  of 
such  surfaces  as  cylinders,  cones  and  spheres.  The  effect  is 
obtained  by  drawing  a  series  of  parallel  or  converging  lines  on 
the  surface  at  varying  distances  from  one  another.  Sometimes 
draftsmen  vary  the  width  of  the  lines  themselves.  These  lines  are 
farther  apart  on  the  lighter  portion  of  the  surface,  and  are  closer 
together  and  heavier  on  the  darker  part. 


144 


MECHANICAL   DRAWING 


Fig.  80  shows  a  cylinder  with  elements  drawn  on  the  surface 
equally  spaced,  as  on  the  plan.  On  account  of  the  curvature  of 
the  surface  the  elements  are  not  equally  spaced  on  the  elevation, 
but  give  the  effect  of  graduation  of  light.  The 
result  is  that  in  elevation  the  distances  between 
the  elements  gradually  lessen  from  the  center 
toward  each  side,  thus  showing  that  the  cylinder 
is  convex.  The  effect  is  intensified,  however,  if 
the  elements  are  made  heavier,  as  well  as  closer 
together,  as  shown  in  Figs.  81  to  87. 

Cylinders  are  often  shaded  with  the  light 
coming  in  the  usual  way,  the  darkest  part  com- 
mencing about  where  the  shade  line  would  actually 
be  on  the  surface,  and  the  lightest  portion  a  little 
to  the  left  of  the  center.  Fig.  81  is  a  cylinder 
showing  the  heaviest  shade  at  the  right,  as  this 
method  is  often  used.  Considerable  practice  is 
necessary  in  order  to  obtain  good  results;  but  in 
this,  as  in  other  portions  of  mechanical  drawing, 


Fig.  80. 


perseverance  has  its  reward.  Fig.  82  represents  a  cylinder  in  a 
horizontal  position,  and  Fig.  83  represents  a  section  of  a  hollow 
vertical  cylinder. 


Fig.  81. 


Fig.  82. 


Fig.  83. 


Figs.  84  to  87  give  other  examples  of  familiar  objects. 

In  the  elevation  of  the  cone  shown  in  Fig.  87  the  shade  lines 
should  diminish  in  weight  as  they  approach  the  apex.  Unless 
this  is  done  it  will  be  difficult  to  avoid  the  formation  of  a  blot  at 
that  point. 


145 


54 


MECHANICAL   DRAWING 


LETTERING. 

All  working  drawings  require  more  or  less  lettering,  such  as 
titles,  dimensions,  explanations,  etc.  In  order  that  the  drawing 
may  appear  finished,  the  lettering  must  be  well  done.  No  style 
of  lettering  should  ever  be  used  which  is  not  perfectly  legible. 
It  is'  generally  best  to  use  plain,  easily-made  letters  which  present 


Pig.  84. 


Fig.  85. 


Pig.  86. 


Pig.  87. 


a  neat  appearance.  Small  letters  used  on  the  drawing  for  notes  or 
directions  should  be  made  free-hand  with  an  ordinary  writing  pen. 
Two  horizontal  guide  lines  should  be  used  to  limit  the  height  of 
the  letters;  after  a  time,  however,  the  upper  guide  line  may  be 
omitted. 


146 


MECHANICAL   DRAWING  55 

In  the  early  part  of  this  course  the  inclined  Gothic  letter  was 
described,  and  the  alphabet  given.  The  Roman,  Gothic  and  block 
letters  are  perhaps  the  most  used  for  titles.  These  letters,  being 
of  comparatively  large  size,  are  generally  made  mechanically;  that 
is,  drawing  instruments  are  used  in  their  construction.  In  order 
that  the  letters  may  appear  of  the  same  height,  some  of  them, 
owing  to  their  shape,  must  be  made  a  little  higher  than  the  others. 
This  is  the  case  with  the  letters  curved  at  the  top  and  bottom, 
such  as  C,  O,  S,  etc.,  as  shown  somewhat  exaggerated  in 
Fig.  88.  Also,  the  letter  A  should  extend  a  little  above,  and  V  a 
little  below,  the  guide  lines,  because  if  made  of  the  same  height 
as  the  others  they  will  appear  shorter.  This  is  true  of  all  capitals, 
whether  of  Roman,  Gothic,  or  other  alphabets.  In  the  block  letter, 
however,  they  are  frequently  all  of  the  same  size. 

There  is  no  absolute  size  or  proportion  of  letters,  as  the 
dimensions  are  regulated  by  the  amount  of  space  in  which  the 
letters  are  to  be  placed,  the  size  of  the  drawing,  the  effect  desired, 
etc.  In  some  cases  letters  are  made  so  that  the  height  is  greater 
than  the  width,  and  sometimes  the  reverse;  sometimes  the  height 
and  width  are  the  same.  This  last  proportion  is  the  most  common. 
Certain  relations  of  width,  however,  should  be  observed.  Thus,  in 
whatever  style  of  alphabet  used,  the  W  should  be  the  widest  letter; 
J  the  narrowest,  M  and  T  next  widest  to  W,  then  A  and  B.  The 
other  letters  are  of  about  the  same  width. 

In  the  vertical  Gothic  alphabet,  the  average  height  is  that  of 
B,  D,  E,  F,  etc.,  and  the  additional  height  of  the  curved  letters 
and  of  the  A  and  V  is  very  slight.  The  horizontal  cross  lines  of 
such  letters  as  E,  F,  H,  etc.,  are  slightly  above  the  center;  those 
of  A,  G  and  P  slightly  below. 

For  the  inclined  letters,  60°  is  a  convenient  angle,  although 
they  may  be  at  any  other  angle  suited  to  the  convenience  or  fancy 
of  the  draftsman.  Many  draftsmen  use  an  angle  of  about  70°. 

The  letters  of  the  Roman  alphabet,  whether  vertical  or 
inclined,  are  quite  ornamental  in  effect  if  well  made,  the  inclined 
Roman  being  a  particularly  attractive  letter,  although  rather 
difficult  to  make.  The  block"  letter  is  made  on  the  same  general 
plan  as  the  Gothic,  but  much  heavier.  Small  squares  are  taken  as 


147 


56 


MECHANICAL     DRAWING. 


I 
:i — I 


!k|  f'op 

H  r\l 

i      !i 

.  J  W 

H  s  b 

!•        4       !•  >— T! 


n  H  i 

H  H  '>"     : 

lULJi  ire  {rj 

1,1  LJ  P 

Hi  iQji  if 

I  IP"^^^I  .1 


I,  I"  (* 

a 

U!' 

,:       :,  idJ! 

"*+S\.*  iF1   '     ii        1 

CD  rj  H 

i;  M    ir^i 


k 

(f) 


148 


MECHANICAL   DRAWING  57 

the  unit  of  measurement,  as  shown.  The  use  of  this  letter  is  not 
advocated  for  general  work,  although  if  made  merely  in'outline  the 
effect  is  pleasing.  The  styles  of  numbers  corresponding  with 
the  alphabets  of  capitals  given  here,  are  also  inserted.  When  a 
fraction,  such  as  2|  is  to  be  made,  the  proportion  should  be  about 
as  shown.  For  small  letters,  usually  called  lower-case  letters, 

abcdefghijklmn 
opqrstuvwxyz 


Fig.  89. 


ctbcdefgh/jk/mn 
opcfrs  tu 


Fig.  90. 


abcdefghijklmn 
op  qr  s  tuvwxy  z 

Fig.  91. 

the  height  may  be  made  about  two-thirds  that  of  the  capitals. 
This  proportion,  however,  varies  in  special  cases. 

The  principal  lower-case  letters  in  general  use  among  drafts- 
men are  shown  in  Figs.  89,  90,  91  and  92.  The  Gothic  letters 
shown  in  Figs.  89  and  90  are  much  easier  to  make  than  the 
Roman  letters  in  Figs.  91  and  92.  These  letters,  however,  do  not 


149 


MECHANICAL     DRAWING. 


CD 


1OICO 

CM 


O 


00 


CO 
CM 


150 


MECHANICAL   DRAWING  59 

give  as  finished  an  appearance  as  the  Roman.  As  has  already 
been  stated  in  Mechanical  Drawing,  Part  I,  the  inclined  letter  is 
easier  to  make  because  slight  errors  are  not  so  apparent. 

One  of  the  most  important  points  to  be  remembered  in  letter- 
ing is  the  spacing.  If  the  letters  are  finely  executed  but  poorly 
spaced,  the  effect  is  not  good.  To  space  letters  correctly  and 
rapidly,  requires  considerable  experience;  and  rules  are  of  little 
value  on  account  of  the  many  combinations  in  which  letters  are 

CL  b  c  defg  h  ij'ktmn 
opqrstuvwxyz 

Fig.  92. 

found.  A  few  directions,  however,  may  be  found  helpful.  For 
instance,  take  the  word  TECHNICALITY,  Fig.  93.  If  all  the 
spaces  were  made  equal,  the  space  between  the  L  and  the  I  would 
appear  to  be  too  great,  and  the  same  would  apply  to  the  space 
between  the  I  and  the  T.  The  space  between  the  H  and  the  N 
and  that  between  the  N  and  the  I  would  be  insufficient.  In 
general,  when  the  vertical  side  of  one  letter  is  followed  by  the  verti- 
cal side  of  another,  as  in  H  E,  H  B,  I  R,  etc.,  the  maximum  spa.ce 

TECHNICALITY 

Pig.  93. 

should  be  allowed.  Where  T  and  A  come  together  the  least  space 
is  given,  for  in  this  case  the  top  of  the  T  frequently  extends  over 
the  bottom  of  the  A.  In  general,  the  spacing  should  be  such  that 
a  uniform  appearance  is  obtained.  For  the  distances  between 
words  in  a  sentence,  a  space  of  about  \\  the  width  of  the  average 
letter  may  be  used.  The  space,  however,  depends  largely  upon  the 
desired  effect. 


151 


60 


MECHANICAL   DRAWING 


For  large  titles,  such  as  those  placed  on  charts,  maps,  and 
some  large  working  drawings,  the  letters  should  be  penciled  before 
inking.  If  the  height  is  made  equal  to  the  width  considerable 
time  and  labor  will  be  saved  in  laying  out  the  work.  This  is 
especially  true  with  such  Gothic  letters  as  O,  Q,  C,  etc.,  as  these 
letters  may  then  be  made  with  compasses.  If  the  letters  are  of 
sufficient  size,  the  outlines  may  be  drawn  with  the  ruling  pen  or 
compasses,  and  the  spaces  between  filled  in  with  a  fine  brush. 

The  titles  for  working  drawings  are  generally  placed  in  the 
lower  right-hand  corner.  Usually  a  draftsman  has  his  choice  of 


Block  Letters. 

letters,  mainly  because  after  he  has  become  used  to  making  one 
style  he  can  do  it  rapidly  and  accurately.  However,  in  some  draft- 
ing rooms  the  head  draftsman  decides  what  lettering  shall  be  used. 
In  making  these  titles,  the  different  alphabets  are  selected  to  give 
the  best  results  without  spending  too  much  time.  In  most  work 
the  letters  are  made  in  straight  lines,  although  we  frequently  find 
a  portion  of  the  title  lettered  on  an  arc  of  a  circle. 

In  Fig.  94  is  shown  a  title  having  the  words  CONNECTING 
ROD  lettered  on  an  arc  of  a  circle.  To  do  this  work  requires 
considerable  patience  and  practice.  First  draw  the  vertical  center 


152 


MECHANICAL   DRAWING  61 

line  as  shown  at  C  in  Fig.  94.  Then  draw  horizontal  lines  for  the 
horizontal  letters.  The  radii  of  the  arcs  depend  upon  the  general 
arrangement  of  the  entire  title,  and  this  is  a  matter  of  taste.  The 
difference  between  the  arcs  should  equal  the  height  of  the  letters. 
After  the  arc  is  drawn,  the  letters  should  be  sketched  in  pencil  to 
find  their  approximate  positions.  After  this  is  done,  draw  radial 
lines  from  the  center  of  the  letters  to  the  center  of  the  arcs. 


\ 

BEAM  ENGINE 

SCALE  3  INCHES  =   1   FOOT 

PORTLAND    COMPANY'S   WORKS 

JULY  1O,  1894 

Pig.  94. 


These  lines  will  be  the  centers  of  the  letters,  as  shown  at  A,  B,  D 
and  E.  The  vertical  lines  of  the  letters  should  not  radiate  from 
the  center  of  the  arc,  but  should  be  parallel  to  the  center  lines 
already  drawn;  otherwise  the  letters  will  appear  distorted.  Thus, 
in  the  letter  N  the  two  verticals  are  parallel  to  the  line  A.  The 
same  applies  to  the  other  letters  in  the  alphabet. 


153 


62  MECHANICAL  DRAWING 

Tracing.  Having  finished  the  pencil  drawing,  the  next  ?tep 
is  the  inking.  In  some  offices  the  pencil  drawing  is  made  on  a  thin, 
tough  paper,  called  board  paper,  and  the  inking  is  done  over  the 
pencil  drawing,  in  the  manner  with  which  the  student  is  already 
familiar.  It  is  more  common  to  do  the  inking  on  thin,  trans- 
parent cloth,  called  tracing  cloth,  which  is  prepared  for  the  pur- 
pose. This  tracing  cloth  is  made  of  various  kinds,  the  kind  in 
ordinary  use  being  what  is  known  as  "  dull  back,"  that  is,  one 
side  is  finished  and  the  other  side  is  left  dull.  Either  side  may 
be  used  to  draw  upon,  but  most  draftsmen  prefer  the  dull  side. 
If  a  drawing  is  to  be  traced  it  is  a  good  plan  to  use  a  311  or  4H 
pencil,  so  that  the  lines  may  be  easily  seen  through  the  cloth. 

The  tracing  cloth  is  stretched  smoothly  over  the  pencil  draw- 
ing  and  a  little  powdered  chalk  rubbed  over  it  with  a  dry  cloth, 
to  remove  the  slight  amount  of  grease  or  oil  from  the  surface  and 
make  it  take  the  ink  better.  The  dust  must  be  carefully  brushed 
or  wiped  off  with  a  soft  cloth^  after  the  rubbing,  or  it  will  inter- 
fere with  the  inking. 

The  drawing  is  then  made  in  ink  on  the  tracing  cloth,  after 
the  same  general  rules  as  for  inking  the  paper,  but  care  must  be 
taken  to  draw  the  ink  lines  exactly  over  the  pencil  lines  which 
are  on  the  paper  underneath,  and  which  should  be  just  heavy 
enough  to  be  easily  seen  through  the  tracing  cloth.  The  ink  lines 
should  be  firm  and  fully  as  heavy  as  for  ordinary  work.  In  tracing, 
it  is  better  to  complete  one  view  at  a  time,  because  if  parts  of 
several  views  are  traced  and  the  drawing  left  for  a  day  or  two,  the 
cloth  is  liable  to  stretch  and  warp  so  that  it  will  be  difficult  to 
complete  the  views  and  make  the  new  lines  fit  those  already 
drawn  and  at  the  same  time  conform  to  the  pencil  lines  under- 
neath. For  this  reason  it  is  well,  when  possible,  to  complete  a 
view  before  leaving  the  drawing  for  any  length  of  time,  although 
of  course  on  viewi  in  which  there  is  a  good  deal  of  work  this 
cannot  always  be  done.  In  this  case  the  draftsman  must  manipu- 
late his  tracing  cloth  and  instruments  to  make  the  lines  fit  as  best 
he  can.  A  skillful  draftsman  will  have  no  trouble  from  this 
source,  but  the  beginner  may  at  first  find  difficulty. 

Inking  on  tracing  cloth  will  be  found  by  the  beginner  to  be 
quite  different  from  inking  on  the  paper  to  which  he  has  been 
accustomed,  and  he  will  doubtless  make  many  blots  and  think  at 


154 


2 


0 

LL 
LU 


> 

3 
f- 


on  a. 
<0 


_i  X      J 


o 


MECHANICAL  DRAWING  63 

first  that  it  is  hard  to  make  a  tracing.  After  a  little  practice, 
nowever,  he  will  find  that  the  tracing  cloth  is  very  satisfactory 
and  that  a  good  drawing  can  be  made  on  it  quite  as  easily  as  on 
paper. 

The  necessity  for  making  erasures  should  be  avoided,  as  far 
as  possible,  but  when  an  erasure  must  be  made  a  good  ink  rubber 
or  typewriter  eraser  may  be  used.  If  the  erased  line  is  to  have 
ink  placed  on  it,  such  as  a  line  crossing,  it  is  better  to  use  a  soft 
rubber  eraser.  All  moisture  should  be  kept  from  the  cloth. 

Blue  Printing,  The  tracing,  of  course,  cannot  be  sent  into 
the  shop  for  the  workmen  to  use,  as  it  would  soon  become  soiled 
and  in  time  destroyed,  so  that  it  is  necessary  to  have  some  cheap 
and  rapid  means  of  making  copies  from  it.  These  copies  are 
made  by  the  process  of  blue  printing  in  which  the  tracing  is  used 
in  a  manner  similar  to  the  use  made  of  a  negative  in  photography. 

Almost  all  drafting  rooms  have  a  frame  for  the  purpose  of 
making  blue  prints.  These  frames  are  made  in  many  styles,  some 
simple,  some  elaborate.  A  simple  and  efficient  form  is  a  flat  sur- 
face usually  of  wood,  covered  with  padding  of  soft  material,  such 
as  felting.  To  this  is  hinged  the  cover,  which  consists  of  a  frame 
similar  to  a  picture  frame,  in  which  is  set  a  piece  of  clear  glass. 
The  whole  is  either  mounted  on  a  track  or  on  some  sort  of  a 
swinging  arm,  so  that  it  may  readily  be  run  in  and  out  of  a 
window. 

The  print  is  made  on  paper  prepared  for  the  purpose  by 
having  one  of  its  surfaces  coated  with  chemicals  which  are  sensi- 
tive to  sunlight.  This  coated  paper,  or  blue-print  paper,  as  it  is 
called,  is  laid  on  the  padded  surface  of  the  frame  with  its  coated 
side  uppermost;  the  tracing  laid  over  it  right  side  up,  and  the 
glass  pressed  down  firmly  and  fastened  in  place.  Springs  are 
frequently  used  to  keep  the  paper,  tracing,  etc.,  against  the  glasSc 
With  some  frames  it  is  more  convenient  to  turn  them  over  and 
remove  the  backs.  In  such  cases  the  tracing  is  laid  against  the 
glass,  face  down;  the  coated  paper  is  then  placed  on  it  with  the 
coated  side  against  the  tracing  cloth. 

The  sun  is  allowed  to  shine  upon  the  drawing  for  a  few 
minutes,  then  the  blue-print  paper  is  taken  out  and  thoroughly 
washed  in  clean  water  for  several  minutes  and  hung  up  to  dry. 


157 


64  MECHANICAL  DRAWING 

If  the  paper  has  been  recently  prepared  and  the  exposure  properly 
timed,  the  coated  surface  of  the  paper  will  now  be  of  a  clear,  deep 
blue  color,  except  where  it  was  covered  by  the  ink  lines,  where  it 
will  be  perfectly  white. 

The  action  has  been  this:  Before  the  paper  was  exposed  to 
the  light  the  coating  was  of  a  pale  yellow  color,  and  if  it  had  then 
been  put  in  water  the  coating  would  have  all  washed  off,  leaving 
the  paper  white.  In  other  words,  before  being  exposed  to  the 
sunlight  the  coating  was  soluble.  The  light  penetrated  the  trans- 
parent tracing  cloth  and  acted  upon  the  chemicals  of  the  coating, 
changing  their  nature  so  that  they  became  insoluble;  that  is,  when 
put  in  water,  the  coating,  instead  of  being  washed  off,  merely 
turned  blue.  The  light  could  not  penetrate  the  ink  with  which 
the  lines,  figures,  etc.,  were  drawn,  consequently  the  coating  under 
these  was  not  acted  upon  and  it  washed  off  when  put  in  water, 
leaving  a  white  copy  of  the  ink  drawing  on  a  blue  background. 
If  running  water  cannot  be  used,  the  paper  must  be  washed  in  a 
sufficient  number  of  changes  until  the  water  is  clear.  It  is  a  good 
plan  to  arrange  a  tank  having  an  overflow,  so  that  the  water  may 
remain  at  a  depth  of  about  6  or  8  inches. 

The  length  of  time  to  which  a  print  should  be  exposed  to  the 
light  depends  upon  the  quality  and  freshness  of  the  paper,  the 
chemicals  used  and  the  brightness  of  the  light.  Some  paper  is 
prepared  so  that  an  exposure  of  one  minute,  or  even  less,  in  bright 
sunlight,  will  give  a  good  print  and  the  time  ranges  from  this  to 
twenty  minutes  or  more,  according  to  the  proportions  of  the 
various  chemicals  in  the  coating.  If  the  full  strength  of  the  sun- 
light does  not  strike  the  paper,  as,  for  instance,  if  clouds  partly 
cover  the  sun,  the  time  of  exposure  must  be  lengthened. 

Assembly  Drawing.  We  have  followed  through  the  process 
of  making  a  detail  drawing  from  the  sketches  to  the  blue  print 
ready  for  the  workmen.  Such  a  detail  drawing  or  set  of  drawings 
shows  the  form  and  size  of  each  piece,  but  does  not  show  how  the 
pieces  go  together  and  gives  no  idea  of  the  machine  as  a  whole. 
Consequently,  a  general, drawing  or  assembly  drawing  must  be 
made,  which  will  show  these  things.  Usually  two  or  more  views 
are  necessary,  the  number  depending  upon  the  complexity  of  the 
machine.  Very  often  a  cross-section  through  some  part  of  the 


158 


MECHANICAL  DRAWING  G5 

machine,  chosen  so  as  to  give  the  best  general  idea  with  the  least 
amount  of  work,  will  make  the  drawing  clearer. 

The  number  of  dimensions  required  on  an  assembly  drawing 
depends  largely  upon  the  kind  of  machine.  It  is  usually  best  to 
give  the  important  over-all  dimensions  and  the  distance  between 
the  principal  center  lines.  Care  must  be  taken  that  the  over-all 
dimensions  agree  with  the  sum  of  the  dimensions  of  the  various 
details.'  For  example,  suppose  three  pieces  are  bolted  together, 
the  thickness  of  the  pieces  according  to  the  detail  drawing,  being 
one  inch,  two  inches,  and  five  and  one-half  inches  respectively;  the 
sum  of  these  three  dimensions  is  eight  and  one-half  inches  and 
the  dimensions  from  outside  on  the  assembly  drawing,  if  given  at 
all,  must  agree  with  this.  It  is  a  good  plan  to  add  these  over-all 
dimensions,  as  it  serves  as  a  check  and  relieves  the  mechanic  of  the 
necessity  of  adding  fractions. 

FORMULA  FOR  BLUE-PRINT  SOLUTION. 

Dissolve  thoroughly  and  filter. 

Red  Prussiate  of  potash « 2^  ounces, 

1    Water 1     pint. 

Ammonio-Citrate  of  iron 4  ounces, 

B-     Water 1  pint, 

Use  equal  parts  of  A  and  B. 

FORHULA  FOR  BLACK  PRINTS 

Negatives.     White  lines  on  blue  ground;  prepare  the  paper 

with 

Ammonio-Citrate  of  iron 40  grains, 

Water 1  ounce. 

After  printing  wash  in  water. 

Positives.     Black  lines  on  white  ground;  prepare  the  paper 

with: 

Iron  perchloride 616  grains, 

Oxalic  Acid 308  grains, 

Water 14  ounces. 

(  Gallic  Acid..., 1    ounce, 

Develop  in  1  Citric  Acid 1    ounce, 

(  Alum 8  ouncea 

Use  1J  ounces  of  developer  to  one  gallon  of  water.  Paper  is 
fully  exposed  when  it  has  changed  from  yellow  to  white. 


159 


66  MECHANICAL   DKAWING 

PLATES. 

PLATE  IX. 

The  plates  of  this  Instruction  Paper  should  be  laid  out  at  the 
same  size  as  the  plates  in  Parts  I  and  II.  The  center  lines  and 
border  lines  should  also  be  drawn  as  described. 

First  draw  two  ground  lines  across  the  sheet,  3  inches  below 
the  upper  border  line  and  3  inches  above  the  lower  border  line. 
The  first  problem  on  each  ground  line  is  to  be  placed  1  inch  from 
the  left  border  line;  and  spaces  of  about  1  inch  should  be  left 
between  the  figures. 

Isolated  points  are  indicated  by  a  small  cross  X,  and  projections 
of  lines  are  to  be  drawn  full  unless  invisible.  All  construction 
lines  should  be  fine  dotted  lines.  Given  and  required  lines  should 
be  drawn  full. 

Problems  on  Upper  Ground  Line: 

1.  Locate  both  projections  of  a  point  on  the  horizontal  plane 
1  inch  from  the  vertical  plane. 

2.  Draw  the  projections  of  a  line  2  inches  long  which  is 
parallel  to  the  vertical  plane  and  which  makes  an  angle  of  45 
degrees  with  the  horizontal  plane  and  slants  upward  to  the  right. 

The  line  should  be  1  inch  from  the  vertical  plane  and  the  lower  end 
J^j  inch  above  the  horizontal. 

3  Draw  the  projections  of  a  line  1|  inches  long  which  is 
parallel  to  both  planes,  1  inch  above  the  horizontal,  and  f  inch  from 
the  vertical. 

4.  Draw  the  plan  ana  elevation  of  a  line  2  incnes  long  which 
is  parallel  to  H  and  makes  an  angle  of  30  degrees  with  V.     Let  the 
right-hand  end  of  the  line  be  the  end  nearer  V,  §  inch  from  V. 
The  line  to  be  1  inch  above  H. 

5.  Draw  the  plan  and  elevation  of  a  line  1|  inches  long 
which  is  perpendicular  to  the  horizontal  plane  and  1  inch  from  the 
vertical.     Lower  end  of  line  is  ^  inch  above  H. 

6.  Draw  the  projections  of  a  line  1  inch   long  which   is 
perpendicular    to  the  vertical  plane    and  1^  inches   above    the 
horizontal.     The  end  of  the  lino  nearer  V,  or  the  back  end,  is 
^  inch  from  V. 


160 


j 


-# 


MECHANICAL   DRAWING 


7.  Draw  two  projections  which  shall  represent  a  line  oblique 
to  both  planes. 

NOTE.  Leave  1  inch  between  this  figure  and  the  right-hand  border  line, 
Problems  on  Lower  Ground  Line : 

8.  Draw  the  projections  of  two  parallel  lines  each  1^  inches 
long.    The  lines  are  to  be  parallel  to  the  vertical  plane  and  to  make 
angles  of  60  degrees  with  the  horizontal.     The  lower  end  of  each 
line  is  £  inch  above  H.    The  right-hand  end  of  the  right-hand  line 
is  to  be  2£  inches  from  the  left-hand  margin. 

9.  Draw  the  projections  of  two  parallel  lines  each  2  inches 
long.    Both  lines  to  be  parallel  to  the  horizontal  and  to  make 
an  •  angle  of  30  degrees  with  the  vertical.    The  lower  line  to  be 
f  inch  above  H,  and  one  end  of  one  line  to  be  against  V. 

10.  Draw  the  projections  of  two  intersecting  lines.      One 
2  inches  long  to  be  parallel  to  both  planes,!  inch  above  H,  and 
£  inch  from  the  vertical;  and  the  other  to  be  oblique  to  both 
planes  and  of  any  desired  length. 

11.  Draw  plan  and  elevation  of  a  prism  1  inch  square  and  1^ 
inches  long.     The  prism  to  have  one  side  on  the  horizontal  plane, 
and  its  long  edges  to  be  perpendicular  to  V.    The  back  end  of  the 
prism  is  \  inch  from  the  vertical  plane. 

12.  Draw  plan  and  elevation  of  a  prism  the  same  size  as  given 
above,  but  with  the  long  edges  parallel  to  both  planes,  the  lower 
face  of  the  prism  to  be  parallel  to  H  and  \  inch  above  it,    The 
back  face  to  be  \  inch  from  V. 

PLATE  X. 

The  ground  line  is  to  be  in  the  middle  of  the  sheet,  and  the 
location  and  dimensions  of  the  figures  are  to  be  as  given.  The 
first  figure  shows  a  rectangular  block  with  a  rectangular  hole  cut 
through  from  front  to  back.  The  other  two  figures  represent  the 
same  block  in  different  positions.  The  second  figure  is  the  end  or 
profile  projection  of  the  block.  The  same  face  is  on  H  in  all 
three  positions.  Be  careful  not  to  omit  the  shade  lines.  The 
figures  given  on  the  plate  for  dimensions,  etc.,  are  to  be  used  but 
not  repeated  on  the  plate  by  the  student. 


163 


MECHANICAL   DRAWING 


PLATE  XL 

Three  ground  lines  are  to  be  used  on  this  plate,  two  at  the  left 
4ij  inches  long  and  3  inches  from  top  and  bottom  margin  lines ;  and 
one  at  the  right,  half  way  between  the  top  and  bottom  margins,  9| 
inches  long. 

The  figures  1,  2,  3  and  4  are  examples  for  finding  the  true 
i3ngths  of  the  lines.  Begin  No.  1  finch  from  the  border,  the 
vertical  projection  If  inches  long,  one  end  on  the  ground  line  and 
inclined  at  30°.  The  horizontal  projection  has  one  end  ^  incl 
from  V,  and  the  other  1|  inches  from  V.  Find  the  true  length  of 
the  line  by  completing  the  construction  commenced  by  swinging 
the  arc,  as  shown  in  the  figure. 

Locate  the  left-hand  end  of  No.  2  3  inches  from  the  border, 
1  inch  above  H,  and  f  inch  from  V.  Extend  the  vertical  projection 
to  the  ground  line  at  an  angle  of  45°,  and  make  the  horizontal  pro- 
jection at  30°.  Complete  the  construction  for  true  length  as 
commenced  in  the  figure. 

In  Figs.  3  and  4,  the  true  lengths  are  to  be  found  by  complet- 
ing the  revolutions  indicated.  The  left-hand  end  of  Fig.  3  is  f 
inch  from  the  margin,  1|  inches  from  V,  and  If  inches  above  H. 
The  horizontal  projection  makes  an  angle  of  60°  and  extends  to  the 
ground  line,  and  the  vertical  projection  is  inclined  at  45°. 

The  fourth  figure  is  3  inches  from  the  border,  and  represents 
a  line  in  a  profile  plane  connecting  points  a  and  J.  a  is  1|  inches 
above  H  and  f  inch  from  V;  and  5  is  \  inch  above  H  and  1| 
inches  from  V. 

The  figures  for  the  middle  ground  line  represent  a  pentagonal 
pyramid  in  three  positions.  The  first  position  is  the  pyramid  with 
the  axis  vertical,  and  the  base  f  inch  above  the  horizontal.  The 
height  of  the  pyramid  is  2|  inches,  and  the  diameter  of  the  circle 
circumscribed  about  the  base  is  2|  inches.  The  center  of  the  circle 
is  6  inches  from  the  left  margin  and  If  inches  from  V.  Spaces 
between  figures  to  be  f  inch. 

In  the  second  figure  the  pyramid  has  been  revolved  about  the 
right-hand  corner  of  the  base  as  an  axis,  through  an  angle  of  15°. 
The  axis  of  the  pyramid,  shown  dotted,  is  therefore  at  75°.  The 
method  of  obtaining  75°  and  15°  with  the  triangles  was  shown  in 


164 


MECHANICAL   DKAWING 


GO 


Part  I.  From  the  way  in  which  the  pyramid  has  been  revolved, 
all  angles  with  V  must  remain  the  same  as  in  the  first  position; 
hence  the  vertical  projection  will  be  the  same  shape  and  size  as 
before.  All  points  of  the  pyramid  remain  the  same  distance 
from  V.  The  points  on  the  plan  are  found  on  T-square  lines 
through  the  corners  of  the  first  plan  and  directly  beneath  the 
points  in  elevation.  In  the  third  position  the  pyramid  has  been 
swung  around,  about  a  vertical  line  through  the  apex  as  axis, 
through  30°.  The  angle  with  the  horizontal  plane  remains  the 
same;  consequently  the  plan  is. the  same  size  and  shape  as  in  the 


Fig.  96. 

second  position,  but  at  a  different  angle  with  the  ground  line. 
Heights  of  all  points  of  the  pyramid  have  not  changed  this  time, 
and  hence  are  projected  across  from  the  second  elevation.  Shade 
lines  are  to  be  put  on  between  the  light  and  dark  surfaces  as 
determined  by  the  45°  triangle. 

PLATE  XII. 

Developments. 

On  this  plate  draw  the  developments  of  a  truncated  octagonal 
prism,  and  of  a  truncated  pyramid  having  a  square  base.  The 
arrangement  on  the  plate  is  left  to  the  student;  but  we  should 
suggest  that  the  truncated  prism  and  its  development  be  placed  at 


167 


70 


MECHANICAL   DBA  WING 


the  left,  and  that  the  development  of  the  truncated  pyramid  be 
placed  under  the  development  of  the  prism ;  the  truncated  pyramid 
may  be  placed  at  the  right. 

The  prism  and  its  development  are  shown  in  Fig.  96.  The 
prism  is  3  inches  high,  and  the  base  is  inscribed  in  a  circle  2^ 
inches  in  diameter.  The  plane  forming  the  truncated  prism  is 
passed  as  indicated,  the  distance  A  B  being  1  inch.  Ink  a  suffi- 
cient number  of  construction  lines  to  show  clearly  the  method  of 
finding  the  development. 

The  pyramid  and  its  development  are  shown  in  Fig.  97.  Each 
side  of  the  square  base  is  2  inches,  and  the  altitude  is  3|  inches. 
A 


Fig.  97. 

The  plane  forming  the  truncated  pyramid  is  passed  in  such  a 
position  that  A  B  equals  If  inches,  and  A  C  equals  2^  inches.  In 
this  figure  the  development  may  be  drawn  in  any  convenient 
position,  but  in  the  case  of  the  prism  it  is  better  to  draw  the 
development  as  shown.  Indicate  clearly  the  construction  by 
inking  the  construction  lines. 

PLATE  XIII. 

Isometric  and  Oblique  Projection. 

Draw  the  oblique  projection  of  a  portable  closet.  The  angle  to 
be  used  is  45°.  Make  the  height  3^  inches,  the  depth  1|  inches, 
and  the  width  3  inches.  See  Fig.  98.  The  width  of  the  closet 


168 


MECHANICAL  DBAWING 


71 


is  to  be  shown  as  the  left-hand  face.  The  front  left-hand  lower 
corner  is  to  be  1  inch  from  the  left-hand  border  line  and  2  inches 
from  the  lower  border  line.  The  door  to  be  placed  in  the  closet 
should  be  If  inches  wide  and  2f  inches  high.  Place  the  door 


4- 


ro 


*'"• 


I 


CM 


3H- 


Fig.  98. 

centrally  in  the  front  of  the  closet,  the  bottom  edge  at  the  height 
of  the  floor  of  the  closet,  the  hinges  of  the  door  to  be  placed  on  the 
left-hand  side.  In  the  oblique  drawing,  show  the  door  opened 
at  an  angle  of  90  degrees.  The  thickness  of  the  material  of  the 
closet,  door,  and  floor  is  £  inch. 
The  door  should  be  hung  so  that 
when  closed  it  will  be  flush  with 
the  front  of  the  closet. 

Make  the  isometric  drawing 
of  the  flight  of  steps  and  end  walls 
as  shown  by  the  end  view  in  Fig. 
99.  The  lower  right-hand  corner 
is  to  be  located  2^  inches  from 
the  lower,  and  5  inches  from  the 


Fig.  99. 


right-hand,  margin.  The  base  of  the  end  wall  is  3£  inches  long, 
and  the  height  is  2^  inches.  Beginning  from  the  back  of  the 
wall,  the  top  is  horizontal  for  f  inch,  the  remainder  of  the  outline 
being  composed  of  arcs  of  circles  whose  radii  and  centers  are  given 


171 


72  MECHANICAL   DKAWING- 

in  the  figure.  The  thickness  of  the  end  wall  is  f  inch,  and  both 
ends  are  alike.  There  are  to  be  five  steps;  each  rise  is  to  be 
|  inch,  and  each  tread  |  inch,  except  that  of  the  top  step,  which 
is  |  inch.  The  first  step  is  located  |  inch  back  from  the  corner 
of  the  wall.  The  end  view  of  the  wall  should  be  constructed  on  a 
separate  sheet  of  paper,  from  the  dimensions  given,  the  points  on 
the  curve  being  located  by  horizontal  co-ordinates  from  the  vertical 
edge  of  the  wall,  and  then  these  co-ordinates  transferred  to  the 
isometric  drawing.  After  the  isometric  of  one  curved  edge  has 
been  made,  the  others  can  be  readily  found  from  this.  The  width 
of  the  steps  inside  the  walls  is  3  inches. 

PLATE  XIV. 

Free-hand  Lettering. 

On  account  of  the  importance  of  free-hand  lettering,  the 
student  should  practice  it  at  every  opportunity.  For  additional 
practice,  and  to  show  the  improvement  made  since  completing 
Part  I,  lay  out  Plate  XIV  in  the  same  manner  as  Plate  I,  and  letter 
all  four  rectangles.  Use  the  same  letters  and  words  as  in  the  lower 
light-hand  rectangle  of  Plate  I. 

PLATE  XV. 
Lettering. 

First  lay  out  Plate  XV  in  the  same  manner  as  previous 
plates.  After  drawing  the  vertical  center  line,  draw  light  pencil 
lines  as  guide  lines  for  the  letters.  The  height  of  each  line  of 
letters  is  shown  on  the  reproduced  plate.  The  distance  be- 
tween the  letters  should  be  |  inch  in  every  case.  The  spacing 
of  the  letters  is  left  to  the  student.  He  may  facilitate  his  work 
by  lettering  the  words  on  a  separate  piece  of  paper,  and  finding 
the  center  by  measurement  or  by  doubling  the  paper  into  two 
equal  parts.  The  styles  of  letters  shown  on  the  reproduced  plate 
should  be  used 


172 


f-.t-^fi    r?i    r-fi"  r-*i    #1    r.-H    hH    r..fv.- 


J 
O 

O 


U 


cr 

D 
O 
O 


J 

<^f 


H 
O 


M 

s^ 

cC  S 
o 


A  CKNOWLEDGMENT  SHOULD  BE  MADE  TO 
•*"*•  THE  SEVERAL  ARCHITECTS,  DESIGNERS 
AND  PUBLISHERS  WHO  HAVE  ALLOWED 
THEIR  DRAWINGS  TO  BE  REPRODUCED  IN 
THE  SECTION  ON  ARCHITECTURAL  LETTER- 
ING, AND  TO  THE  BATES  &  GUILD  CO.,  OF 
BOSTON,  FOR  PERMISSION  TO  INCLUDE  THE 
VARIOUS  PLATES  FROM  "LETTERS  AND  LET- 
TERING," A  LARGER  TREATISE  BY  FRANK 
CHOUTEAU  BROWN. 


riere 


erlio 


RUBBING  OF  INCISED  SLATE  LETTERING  FROM  HEAD  STONE  IN  KING'S  CHAPEL  BURYING 
GROUND,  BOSTON,  1773. 


ARCHITECTURAL  LETTERING. 


Architectural  lettering  maj  be  divided  into  two  general 
classes.  The  first  is  for  titling  and  naming  drawings,  as  well  as 
for  such  notes  and  explanations  as  it  is  usual  or  necessary  to  put 
upon  them;  this  may  well  be  called  "Office  Lettering."  The 
second  includes  the  use  of  letters  for  architectural  inscriptions 
to  be  carved  in  wood  or  stone,  or  cast  in  metal :  for  this  quite  a 
different  character  of  letter  is  required,  and  one  that  is  always 
to  be  considered  in  its  relation  to  the  material  in  which  it  is  to 
be  executed,  and  designed  in  regard  to  its  adaptability  to  its 
method  of  execution.  This  may  be  arbitrarily  termed  "Inscrip- 
tion Lettering,"  and  as  a  more  subtle  and  less  exact  subject  than 
office  lettering  it  may  better  be  taken  up  last. 

OFFICE  LETTERING. 

Architectural  office  lettering  has  nothing  in  common  with 
the  usual  Engineering  letter,  or  rather,  to  be  more  exact,  the  re- 
verse is  true :  Engineering  lettering  has  nothing  in  common  with 
anything  else.  Its  terminology  is  wrong  and  needlessly  confusing 
inasmuch  as  it  clashes  with  well  and  widely  accepted  definitions. 
Therefore  it  will  be  necessary  to  start  entirely  anew,  and  if  the 
student  has  already  studied  any  engineering  book  on  the  subject, 
to  warn  him  that  in  this  instruction  paper  such  terms  as  Gothic, 
etc.,  will  be  used  in  their  well-understood  Architectural  meaning 
and  must  not  be  misinterpreted  to  include  the  style  of  letter 
arbitrarily  so  called  by  Engineers. 

The  first  purpose  of  the  lettering  on  an  architectural  plan  or 
elevation  is  to  identify  the  sheet  with  its  name  and  general 
descriptive  title,  and  further,  to  give  the  names  of  the  owner 
and  architect.  The  lettering  for  this  purpose  should  always  be 
rather  important  and  large  in  size,  and  its  location,  weight  and 


177 


ARCHITECTURAL    LETTERING 


height  must  be  exactly  determined  by  the  size,  shape  and  weight 
of  the  plan  or  elevation  itself,  as  well  as  its  location  upon  and 
relation  to  the  paper  on  which  it  is  drawn,  in  order  to  give  a 
pleasing  effect  and  to  best  finish  or  set  off  the  drawing  itself. 
The  style  of  letter  used  may  be  suggested,  or  even  demanded,  by 
the  design  of  the  building  represented.  Thus  Gothic  lettering 
might  be  appropriate  on  a  drawing  of  a  Gothic  church,  just  as 
Italian  Renaissance  lettering  would  be  for  a  building  of  that 
style,  or  as  Classic  lettering  would  seem  most  suitable  on  the 
drawings  for  a  purely  Classic  design ;  while  each  letter  or  legend 
would  look  equally  out  of  place  on  any  one  of  the  other  drawings. 

LETTER   FORHS. 

It  may  be  said  that  practically  all  the  lettering  now  used 
in  architectural  offices  in  this  country  is  derived,  however  re- 
motely it  may  seem  in  some  cases,  from  the  old  Roman  capitals 
as  developed  and  defined  during  the  period  of  the  Italian  Renais- 
sance. These  Renaissance  forms  may  be  best  studied  first  at  a 
large  size  in  order  to  appreciate  properly  the  beauty  and  the 
subtlety  of  their  individual  proportions.  For  this  purpose  it  is 
well  to  draw  out  at  rather  a  large  scale,  about  four  or  four  and 
one-half  inches  in  height,  a  set  of  these  letters  of  some  recognized 
standard  form,  and  in  order  to  insure  an  approximately  correct 
result  some  such  method  of  construction  as  that  shown  in  Figs. 
1  and  2  should  be  followed.  This  alphabet,  a  product  of  the 
Renaissance,  though  of  German  origin,  is  one  adapted  from  the 
well-known  letters  devised  by  Albrecht  Diirer  about  1525,  and  is 
here  merely  redrawn  to  a  simpler  constructive  method  and  ar- 
ranged in  a  more  condensed  fashion.  This  may  be  accepted  as  a 
good  general  form  of  Roman  capital  letter  in  outline,  although 
it  lacks  a  little  of  the  Italian  delicacy  of  feeling  and  thus  be- 
trays its  German  origin. 

The  letter  is  here  shown  in  a  complete  alphabet,  including 
those  letters  usually  omitted  from  the  Classic  or  Italian  inscrip- 
tions: the  J,  TJ  (the  V  in  its  modern  form)  and  two  alternative 
W's,  which  are  separately  drawn  out  in  Fig.  1. 

These  three  do  not  properly  form  part  of  the  Classic  alpha- 
bet and  have  come  into  use  only  within  comparatively  modern 


178 


AKCHITECTUEAL   LETTERING 


times.  For  this  reason  in  any  strictly  Classic  inscription  the 
letter  I  should  be  used  in  place  of  the  J,  and  the  V  in  place 
of  the  U.  It  is  sometimes  necessary  to  use  the  W  in  our  modern 
spelling,  when  the  one  composed  of  the  double  V  should  always 
be  employed. 

The  system  of  construction  shown  in  this  alphabet  is  not 
exactly  the  one  that  Diirer  himself  devised.  The  main  forms 
of  the  letters  as  well  as  their  proportions  are  very  closely  copied 
from  the  original  alphabet,  but  the  construction  has  been  some- 
what simplified  and  some  few  minor  changes  made  in  the  letters 
themselves,  tending  more  towards  a  modern  and  more  uniform 
character.  The  two  W's,  one  showing  the  construction  with  the 
use  of  the  two  overlapping  letter  V's,  and  one  showing  the  W 
incorporated  upon  the  same  square  unit  which  carries  the  other 


Fig.  1.     Two  Alternative  Forms  of  the  Letter  W, 
to  accompany  the  Alphabet  shown  in  Fig.  2. 

letters  (the  latter  form. being  the  one  used  by  Diirer  himself), 
are  shown  separately  in  Fig.  1.  It  should  be  noticed  that  every 
letter  in  the  alphabet,  except  one  or  two  that  of  necessity  lack 
the  requisite  width — such  as  the  I  and  J — is  based  upon  and 
fills  up  the  outline  of  a  square,  or  in  the  case  of  the  round  letters, 
a  circle  which  is  itself  contained  within  the  square.  This  alpha- 
bet should  be  compared  with  the  alphabet  in  Fig.  4,  attributed 
to  Sebastian  Serlio,  an  Italian  architect  of  the  sixteenth  century. 
By  means  of  this  comparison  a  very  good  idea  may  "be  obtained 
of  the  differences  and  characteristics  which  distinguish  the  Italian 
and  German  traits  in  practically  contemporaneous  lettering. 

.  After  once  drawing  out  these  letters  at  a  large  size,  the  be- 
ginner may  find  that  he  has  unconsciously  acquired  a  better  con- 
structive feeling  for  the  general  proportions  of  the  individual  let- 


179 


AKCHITECTUKAL   LETTERING 


ters  and  should  thereafter  form  the  letters  free-hand  without  the 
aid  of  any  such  scheme  of  construction,  merely  referring  occa- 
sionally to  the  large  chart  as  a  sort  of  guide  or  check  upon  the 


Fig.  2.     Alphabet    of    Classic    Renaissance    Letters    according    to    Albrecht 
Diirer,  adapted  and  reconstructed  by  F.  C.  Brown.     (See  Fig.  1.) 

eye.  For  this  purpose  it  should  be  placed  conveniently,  so  that  it 
may  be  referred  to  when  in  doubt  as  to  the  outline  of  any  in- 
dividual letter.  By  following  this  course  and  practicing  thor- 


180 


ARCHITECTURAL   LETTERING 


oughly  the  use  of  the  letters  in  word  combinations,  a  ready  com- 
mand over  this  important  style  of  letter  will  eventually  be 
acquired. 


Fig.  2.      (Continued) 

In  practice  it  will  soon  be  discovered  that  a  letter  in  outline 
and  of  a  small  size  is  more  difficult  to  draw  than  one  solidly 
blacked-in,  because  the  denning  outline  must  be  even  upon  both 


181 


ARCHITECTURAL    LETTERING 


its  edges ,'  and  that  as  the  eye  follows  more  the  inner  side  of  this 
line  than  it  does  the  outer,  both  in  drawing  and  afterwards  in 
recognizing  the  letter  form,  the  inaccuracies  of  the  outer  side  of 
the  line  are  likely  to  show  up  against  the  neighboring  letters,  and 
produce  an  irregularity  of  effect  that  it  is  difficult  to  overcome, 
especially  for  the  beginner ;  while  in  a  solidly  blacked-in  letter, 
it  is  the  outline  and  proportions  alone  with  which  the  draftsman 
must  concern  himself.  Therefore,  a  letter  in  the  same  style  is 
more  easily  and  rapidly  drawn  when  solidly  blacked-in  than  as 
an  "open"  or  outline  letter.  In  many  cases  where  it  is  desired 
to  give  a  more  or  less  formal  and  still  sketchy  effect,  a  letter  of 
the  same  construction  but  with  certain  differences  in  its  charac- 
teristics may  be  used.  It  should  not  be  so  difficult  to  draw,  and 
much  of  the  same  character  may  still  be  retained  in  a  form  that 


TAVNTON'PVBLIC- LIBRA RY 
TAVNTON-MAS.SAC   HV.SETT.S 

/•LBtKT  RANDOLPH   BO.S.S  ARCHTrECT  ONt  HUMFE.D   /NO  FIFTY  SK   FIFTH  A/EMUd    NEWYORK.  CITY 


Fig.  3.     Title  from  Competitive  Drawings  for  the  Taunton  Public  Library, 
Albert  Randolph  Ross,  Architect. 


is  much  easier  to  execute.  Some  such  letter  as  is  shown  at  the 
top  of  Fig.  10,  or  any  other  personal  variation  of  a  similar  form 
such  as  may  be  better  adapted  to  the  pen  of  the  individual  drafts- 
man would  answer  this  purpose.  The  titles  shown  in  Figs.  3  and 
5  include  letters  of  this  same  general  type,  but  of  essentially 
different  character. 

In  drawing  a  letter  that  is  to  be  incised  in  stone  it  is  cus- 
tomary to  show  in  addition  to  the  outline,  "a  third  line  about  in 
the  center  of  the  space  between  the  outside  lines.  This  addi- 
tional line  represents  the  internal  angle  that  occurs  at  the  meeting 
of  the  two  sloping  faces  used  to  define  the  letter.  An  example  is 
shown  in  Figs.  24  and  25,  while  in  Fig.  7^  taken  from  drawings 
for  a  building  by  McKim,  Mead  &  White,  the  same  convention 
is  frankly  employed  to  emphasize  the  principal  lettering  of  a 
pen-drawn  title. 


183 


ARCHITECTURAL    LETTERING 


ABCD 
EFGH 
I  KLM 

NOQP 
RSTV 
WXYZ 

Fig.  4.     Italian  Renaissance  Alphabet,  according  to  Sebastian  Serho. 


183 


10 


ARCHITECTURAL   LETTERING 


For  the  purpose  of  devising  a  letter  that  may  be  drawn  with 
one  stroke  of  the  pen  and  at  the  same  time  retain  the  general 
character  of  the  larger,  more  Classic  alphabet,  in  order  that  it 
may  be  consistently  used  for  less  important  lettering  on  the  same 
drawing,  it  is  interesting  to  try  the  experiment  of  making  a 
skeleton  of  the  letters  in  Figs.  1  arid  2.  This  consists  in  running 
a  single  heavy  line  around  in  the  middle  of  the  strokes  that  form 


JERSEY-  CITY  •  FREE  -  PVBLIC  •  LIBRARY 

•SCALE « ONE-INCH  •  LOCALS  •  FCMt  -  FEET  • 

BRTTL- AND -BACON  •  ARCHITECTS  -  III-RFTH-AVENVE-NEW-YORK-CnY' 

Fig.  5.    Title  from  Drawings  for  the  Jersey  City  Public  Library, 
iSrite  &  Bacon,  Architects. 


the  outline  of  these  letters.  This  "skeleton"  letter,  with  a  few 
modifications,  will  be  found  to  make  the  best  possible  capital 
letter  for  rapid  use  on  working  drawings,  etc.,  and  in  a  larger 
size  it  may  be  used  to  advantage  for  titling  details  (Fig.  9).  It 
will  also  prove  to  be  singularly  effective  for  principal  lettering 


Fig.  6.    "Skeleton"  Construction  of  Letters  shown  in  Fig.  2. 


on  plans,  to  give  names  of  rooms,  etc.  (Fig.  13),  while  in  a  still 
smaller  size  it  may  sometimes  be  used  for  notes,  although  a 
minuscule  or  lower  case  letter  will  be  found  more  generally  useful 
for  this  purpose. 

In  Fig.  6  are  shown  four  letters  where  the  skeleton  has  been 
drawn  within  the  outline  of  the  more  Classic  form.     It  is  un- 


184 


ARCHITECTURAL  LETTERING 


11 


o 


ftH 


$ 


necessary  to  continue  this  experi- 
ment at  a  greater  length,  as  it  is 
believed  the  idea  is  sufficiently  de- 
veloped in  these  four  letters.  In 
addition  it  is  merely  the  theoreti- 
cal part  of  the  experiment  that  it 
is  desirable  to  impress  upon  the 
draftsman.  In  practice  it  will  be 
found  advisable  to  make  certain 
further  variations  from  this  "skel- 
eton" in  order  to  obtain  the  most 
pleasing  effect  possible  with  a 
single-line  letter.  But  the  basic 
relationship  of  these  two  forms 
will  amply  indicate  the  propriety 
of  using  them  in  combination  or 
upon  the  same  drawing. 

It  will  be  found  that  the  letter 
more  fully  shown  in  Fig.  10  is 
almost  the  same  as  the  letter  pro- 
duced by  this  "skeleton"  method, 
except  that  it  is  more  condensed. 
That  is,  the  letters  are  narrower 
for  their  height  and  a  little  freer 
or  easier  in  treatment.  This 
means  that  they  can  be  lettered 
more  rapidly  and  occupy  less 
space,  and  also  that  they  will  pro- 
duce a  more  felicitous  effect. 

In  actual  practice,  the  free  cap- 
itals shown  in  Fig.  10  will  be 
found  to  be  of  the  shape  that  can 
be  made  most  rapidly  and  easily, 
and  this  style  or  some  similar  let- 
ter should  be  studied  and  practiced 
very  carefully. 

Other    examples    of     similar 
one-line    capitals    will    be    found 


185 


12  ARCHITECTURAL    LETTERING 

used  with  classic  outline  or  blacked-in  capitals  on  drawings, 
Figs.  3,  5  and  7. 

In  Figs.  8,  9  and  13  these  one-line  letters  are  used  for 
principal  titles  as  well,  and  with  good  effect. 

In  Fig.  10  is  shown  a  complete  alphabet  of  this  single-line 

blLL  OF  INDIANA  LIMESTONE 
<JLNE5LL  \ALL£Y  TRi/,ST  CO'5  WlLDm 

Fig.  8.    Title  from  Architectural  Drawing,  Claude  Fayette  Bragdon,  Architect. 

letter,  and  the  adaptability  of  this  character  for  use  on  details  is 
indicated  by  the  title  taken  from  one  and  reproduced  in  Fig.  9. 
In  the  same  plate,  Fig.  10,  is  also  shown  an  excellent  form  of 
small  letter  that  may  be  used  with  any  of  these  capitals.  It  is 


OF 


DETAIL 

FREEJTONE  JHEET  C 

4O5-C.OMMONWLA1TH  AVt 

v/ejite-mber  .  <S  -J^O  1  • 

frank  •  ChouCteau  •  Brown  -Architect- 
N  *  \3  •  •  Patrlo  -  Jtreet-  £>o  o"toj\  MCWJ  > 

Fig.  9.    Title   from  Detail. 

quite  as  plain  as  any  Engineer's  letter,  and  is  easier  to  make, 
and  at  the  same  time  when  correctly  placed  upon  the  drawing 
it  is  much  more  decorative.  This  entire  plate  is  reproduced  at 
a  slight  reduction  from  the  size  at  which  it  was  drawn,  so  that 
it  may  be  studied  and  followed  closely. 


186 


ARCHITECTURAL    LETTERING  13 


LETTERS 

^  PRINCIPA 

TITLES* 


•5GAIZ  -THRZE 
OFAN-INCH-EQVAL6-ONE 
•FOOT 

•  Small  Letters  adbcd- 

•  eighyHmnopqnstuv  • 

•  wxyz  •  for  rapid  work- 

CAPITALS  -ABCDEG 
FHIJKLMNOPQRJT 
UVXWYZ  -FREE-  HAND 

Fig.  10.    Letters  for  Architectural  Office  use. 


187 


14  ARCHITECTURAL    LETTERING 

Fig.  10  should  be  most  carefully  studied  and  copied,  as  it 
represents  such  actual  letter  shapes  as  are  used  continually  on 


£r  AKQHITECTS 


'mnopq 
rstuvwxuz  1234567 
Plan,  of SeconJfloDY 

AKDEFGHUKLM 
NOK^TUVWYL 

A  good  alphabet  £r 
lettering  plans 


Fig.  11.     Single-line  Italic  Letters,  by  Claude  Fayette  Bragdon. 

architectural  drawings,  and  such  as  would,  therefore,  be  of  the 
most  use  to  the  draftsman.  He  should  so  perfect  himself  in  these 
alphabetf  that  he  will  have  them  always  at  hand  for  instant  use. 


188 


ARCHITECTURAL   LETTERING 


15 


The  alphabets  of  capital  and  minuscule  one-line  letters 
shown  in  Fig.  11  are  similar  in  general  type  to  those  we  have  just 
been  discussing,  except  that  they  are  sloped  or  inclined  letters 
and  therefore  come  under  the  heading  of  "Italics."  The  Italic 
letter  is  ordinarily  used  to  emphasize  a  word  or  phrase  in  a 
sentence  where  the  major  portion  of  the  letters  are  upright; 


J    IN 
CAPITAL  FROM 
THE/ TOWER,  OF 
THE,  WINDS. 


CORINTHIAN  CAP 
FROM  HADRJAN 
BUILDINGS. 


FROM      fc-^3,  CA.ULICULUJI 
TEMPL&OF  MARS.     ^T^  OFCQRJNTHIAN 
EDM£  CAP 

BALUSTER)  3Y  JAN  GALLO 


Fig.  12.    Drawing,  by  Claude  Fayette  Bragdon. 

but  where  the  entire  legend  is  lettered  in  Italics  this  effect  of 
emphasis  is  not  noticeable,  and  a  pleasing  and  somewhat  more 
unusual  drawing  is  likely  to  result.  If  it  is  deemed  advisable  to 
emphasize  any  portion  of  the  lettering  on  such  a  drawing,  it  is 
necessary  only  to  revert  to  the  upright  form  of  letter  for  that 
portion. 

The  single-line  capitals  and  small  letters  on  the  usual  archi- 
tectural plan  or  working  drawing  are  illustrated  in  Fig.  13,  where 
such  a  plan  is  reproduced.  This  drawing  was  not  one  made  spe- 


189 


16  ARCHITECTUKAL   LETTERING 

cially  to  show  this  point,  but  was  selected  from  among  several 
as  best  illustrating  the  use  of  the  letter  forms  themselves,  as  well 
as  good  placing  and  composition  of  the  titles,  both  in  regard  to 
the  general  outline  of  the  plan  and  their  spacing  and  location  in 
the  various  rooms.  It  is  apparent  that  it  is  not  exactly  accurate 
in  the  centering  in  one  or  two  places.  For  instance,  in  the  general 
title,  the  two  lower  lines  are  run  too  far  to  the  right  of  the 
center  line,  and  this  should  be  corrected  in  any  practice  work 
where  these  principles  will  be  utilized.  It  may  be  well  to  say 
that  the  actual  length  of  this  plan  in  the  original  drawing  was 
thirteen  inches,  and  the  rest  of  it  large  in  proportion.  The 
student  should  not  attempt  to  redraw  any  such  example  as  thid 
at  the  size  of  the  illustration.  He  must  always  allow  for  the  re- 
duction from  the  original  drawing,  and  endeavor  to  reconstruct 
the  example  at  the  original  size,  so  that  it  would  have  the  same 
effect  when  reduced  as  the  model  that  he  follows. 

The  letters  for  notes  and  more  detailed  information  should 
be  much  simpler  and  smaller  than  and  yet  may  be  made  to  accord 
with  the  larger  characters.  Such  a  rapid  letter  as  that  shown  in 
Fig.  10,  for  instance,  may  be  used  effectively  with  a  severely  clas- 
sical title.  Of  course,  no  one  with  a  due  regard  for  propriety  or 
for  economy  of  time  would  think  of  using  the  Gothic  small  letter 
for  this  purpose. 

The  portion  of  a  drawing  shown  in  Fig.  14  illustrates  an- 
other instance  of  the  use  of  lettering  on  an  architectural  working 
drawing.  The  lettering  denned  by  double  lines  is  in  this  case 
a  portion  of  the  architectural  de'sign,  the  two  letters  on  the  pend- 
ant banners  being  sewn  on  to  the  cloth  while  those  on  the  lower 
portion  of  the  drawing  are  square-raised  from  the  background 
and  gilded.  Single-line  capitals  are  used  in  this  example  for  the 
notes  and  information  necessary  to  understand  the  meaning  of 
the  drawing. 

A  drawing  of  distinction  should  have  a  principal  title  of 
equal  beauty,  such  as  that  shown  in  Fig.  5  or  Fig.  7.  The  ex- 
cellent lettering  reproduced  in  Fig.  12,  from  a  drawing  by  Mr. 
Claude  Fayette  Bragdon,  is  a  strongly  characteristic  and  in- 
dividual form,  although  based  on  the  same  "skeleton"  idea  as 
the  other  types  of  single-line  lettering  already  referred  to. 


190 


1J 


ARCHITECTURAL   LETTERING 


19 


The  "skeleton"  letter,  formed  on  the  classic  Roman  letter, 
displays  quite  as  clearly  as  does  the  constructive  system  of  Al- 
brecht  Diirer,  the  distinctively  square  effect  of  the  Roman  capi- 
tal. The  entire  Roman  alphabet  is  built  upon  this  square  and 
its  units.  The  letters  shown  in  Figs.  22  and  23  are  redrawn  from 
rubbings  of  old  marble  inscriptions  in  the  Roman  Forum,  and 
may  be  taken  as  representative  of  the  best  kind  of  classic  letter 


BIGELOW 
KENNARD8CO 

GOLDSMITHS 
SILVERSMITHS 
JEWELERS  tf 
IMPORTERS 
MAKERS  OF 
FINE  mTCHES 
AND  CLOCKS 

511  WASHINGTON  ST 
CORNEROFWEST  SX 


Fig.  15.    Advertising  Design,  by  Addison  B.  Le  Boutillier. 

for  incision  in  stone.  The  Diirer  letter,  while  a  product  of  a  later 
period,  is  fundamentally  the  same,  and  differs  only  in  minor,  if 
characteristic,  details.  However,  for  purposes  of  comparison  it 
will  serve  to  show  the  difference  between  a  letter  incised  in  mar- 
ble, or  in  any  other  material,  and  one  designed  for  use  in  letter- 
ing in  black  ink  against  a  white  background 

COMPOSITION. 

After  acquiring  a  sufficient  knowledge  of  letter  forms,  the 
student  is  ready  to  begin  the  study  of  "lettering."  While  a 
knowledge  of  architectural  beauty  of  form  is  the  first  essential,  it 


193 


20  ARCHITECTURAL   LETTERING 


BIGELOW,  KENNARD  AND  CO. 
WILL  HOLD,  IN  THEIR  ART 
ROOMS,  MARCH  25  TO  APRIL  6 
INCLUSIVE,  A  SPECIAL  EXHIBI' 
TION  AND  SALE  OF  GRUEBY 
POTTERY  INCLUDING  THE 
COLLECTION  SELECTED  FOR 
THE  BUFFALO  EXPOSITION 
MDCCCCI 


WASHINGTON  STREET  COR" 
NER  OF  WEST  STREET  BOSTON 


Fig.  16.     Cover  Announcement,  by  Addison  B.  Le  Boutillier. 


194 


ARCHITECTURAL   LETTERING  21 

is  not  the  vital  part  in  lettering,  for  the  composition  of  these  sep- 
arate characters  is  by  far  the  most  important  part  of  the  problem. 

Composition  in  lettering  is  almost  too  intangible  to  define  by 
any  rule.  All  the  suggestions  that  may  be  given  are  of  necessity 
laid  out  on  merely  mathematical  formulae,  and  as  such  are  in- 
capable of  equaling  the  result  that  may  be  obtained  by  spacing 
and  producing  the  effect  solely  from  artistic  experience  and  intui- 
tion. The  final  result  should  always  be  judged  by  its  effect  upon 
the  eye,  which  must  be  trained  until  it  is  susceptible  to  the  slight- 
est deviation  from  the  perfect  whole.  It  is  more  difficult  to  define 
what  good  composition  is  in  lettering  than  in  painting  or  any 
other  of  the  more  generally  accepted  arts,  and  it  resolves  itself 
back  to  the  same  problem.  The  eye  must  be  trained  by  constant 
study  of  good  and  pleasing  forms  and  proportions,  until  it  appre- 
ciates instinctively  almost  intangible  mistakes  in  spacing  and  ar- 
rangement. 

This  point  of  "composition"  is  so  important  that  a  legend 
of  most  beautiful  individual  letter  forms,  badly  placed,  will  not 
produce  as  pleasing  an  effect  as  an  arrangement  of  more  awkward 
letters  when  their  composition  is  good.  This  quality  has  been 
so  much  disregarded  in  the  consideration  of  lettering,  that  it  is 
important  the  student's  attention  should  be  directed  to  it  with 
additional  force,  in  order  that  he  may  begin  with  the  right  feel- 
ing for  his  work. 

An  excellent  example  of  composition  and  spacing  is  shown 
in  Fig.  16,  from  a  drawing  by  Mr.  Addison  B.  Le  Boutillier.  The 
relation  between  the  two  panels  of  lettering  and  the  vase  form, 
and  the  placing  of  the  whole  on  the  paper  with  regard  to  its 
margins,  etc.,  are  exceptionally  good,  and  the  rendered  shape  of 
the  vase  is  just  the  proper  weight  and  color  in  reference  to  the 
weight  and  color  of  the  lettered  panels. 

In  this  reproduction  the  border  line  represents  the  edge  of 
the  paper  upon  which  the  design  itself  was  printed,  and  not  a 
border  line  enclosing  the  panel.  The  real  effect  of  the  original 
composition  can  be  obtained  only  by  eliminating  the  paper  oul"- 
side  of  this  margin  and  by  studying  the  placing  and  mass  of  the 
design  in  relation  to  the  remaining  "spot"  and  proportions  of  the 
paper.  Perhaps  the  simplest  and  most  certain  way  to  realize  the 


195 


22 


ARCHITECTUKAL  LETTERING 


STORIES 

from  the 

o42? 


Chap-Book 

BEING  A  MISCELLANY 01 

Curious  and  interefting  Talw. 
Hiftorie*.  &c;   nezofy  com- 
pofed  AyMANY  CELE> 
BRATED  "WRITER* 
and  very  delight- 
ful to  read. 


effect  of  the  original  is  to  cut  out  a  rectangle  the  size  of  this  panel 
from  a  differently  colored  piece  of  paper,  and  place  it  over  the 
page  as  a  "  mask,"  so  that  only  the  outline  of  the  original  design 

i      O  «/  O  O 

will  show  through. 

The  other  example  by  the  same  designer,  shown  in  Fig.  15, 
is  equally  good.  The  use  of  the  letter  with  the  architectural 
ornament,  and  the  form,  proportion,  spacing  and  composition  of 
the  lettering  are  all  admirable. 

The  title  page,  by  Mr.  Claude  Fayette  Bragdon,  shown  in 
Fig.  17,  is  a  composition  in- 
cluding the  use  of  many  differ- 
ent types  of  letters ;  yet  all  be- 
long to  the  same  period  and 
style,  so  that  an  effect  of  sim- 
plicity is  still  retained.  In 
composition,  this  page  is  not 
unlike  its  possible  composition 
in  type,  but  in  that  case  no  such 
variety  of  form  for  the  letters 
would  be  feasible,  while  the  en- 
tire design  has  an  effect  of 
coherence  and  fusion  which  the 
use  of  a  pen  letter  alone  makes 
possible,  and  which  could  not 
be  obtained  at  all  in  typograph- 
ical examples.  The  treatment 
of  the  ornament  incorporated  in 
Claude  this  design  should  be  noticed  for 
its  weight  and  rendering,  which 
bear  an  exact  relation  to  the  "color"  of  the  letter  employed. 

In  Fig.  18  is  a  lettered  panel  that  will  well  repay  careful 
study.  The  composition  is  admirable,  the  letter  forms  of  great 
distinction — especially  the  small  letters — and  yet  this  example 
has  not  the  innate  refinement  of  the  others.  The  decorative 
panel  at  the  top  is  too  heavy,  and  the  ornament  employed  has 
no  special  beauty  of  form,  fitness,  or  charm  of  rendering  (com- 
pare Figs.  15  and  16),  while  the  weight  of  the  panel  requires 


CHICAGO: 

Printed  for  Herbert  S.  Stone  &  Company. 
and  are  to  be  ibid  by  them  atTXe 

Caxton  Building  in  Deartom Street 
.656- 


Fig.  17.    Title      Page,     by 
Fayette  Bragdon. 


196 


AKCHITECTUKAL    LETTERING 


23 


some  such  over-heavy  border  treatment  as  has  been  used.  Here, 
again,  in  the  slight  Gothic  cusping  at  the  angles  a  lack  of  restraint 
or  judgment  on  the  part  of  the  designer  is  indicated,  this  Gothic 
touch  being  entirely  out  of  keeping  with  the  lettering  itself,  and 
only  partially  demanded  by  the  decorative  panel.  Of  course,  ic 


Our  First  Exhibit  of 

ROOKWOOD 
POTTERY 


comprising  several 
hundred  pieces  of  tke 


MARSHALL  FIELD 
COMPANY 


Fig.  18.     Advertising  Announcement. 

is  easy  to  see  that  these  faults  are  all  to  be  attributed  to  an 
attempt  to  attract  and  hold  the  eye  and  thus  add  to  the  value 
of  the  design  as  an  advertisement;  but  a  surer  taste  could  have 
obtained  this  result  and  yet  not  at  the  expense  of  the  composition 
as  a  whole.  It  is  nevertheless  an  admirable  piece  of  work. 

In  Fig.  19  is  shown  an  example  of  the  use  of  lettering  in 


197 


AECHITECTUKAL   LETTERING 


composition,  in  connection  with  a  bolder  design,  in  this  case 
for  a  book  cover,  by  Mr.  H.  Van  Buren  Magonigle.  Note  the 
nice  sense  of  relation  between  the  style  of  lettering  employed  and 
the  design  itself,  as  well  as  the  subject  of  the  work.  The  letter 
form  is  a  most  excellent  moderr  ization  of  the  classic  Roman 
letter  shape  (compare  Figs.  22  and  23). 


Fig.  19.    Book  Cover,  by  H.  Van  Buren  Magonigle. 

The  student  must  be  ever  appreciative  of  all  examples  of  the 
good  and  bad  uses  of  lettering  that  he  sees,  until  he  can  distin- 
guish the  niceties  of  their  composition  and  appreciate  to  tho 
utmost  such  examples  as  the  first  of  these  here  shown.  It  is  only 
by  constant  analysis  of  varied  examples  that  he  can  be  able  to 
distinguish  the  points  that  make  for  good  or  bad  lettering. 


198 


ARCHITECTUKAL  LETTERING          25 

SPACING. 

There  is  a  workable  general  rule  that  may  be  given  for 
obtaining  an  even  color  over  a  panel  of  black  lettering ;  that  is,  if 
the  individual  letters  are  so  spaced  as  to  have  an  equal  area  of 
white  between  them  this  evenness  of  effect  may  be  attained.  But 
when  put  to  its  use,  even  this  rule  will  be  found  to  be  surrounded 
by  pitfalls  for  the  unwary.  This  rule  for  spacing  must  not  be 
understood  to  mean  that  it  applies  as  well  to  composition.  It  does 
riot :  it  is,  at  the  best,  but  a  makeshift  to  prevent  one  from  going 
far  wrong  in  the  general  tone  of  a  panel  of  lettering,  and  must 
therefore  fully  apply  only  to  a  legend  employing  one  single  type 
of  letter  form. 

One  with  sufficient  authority  and  experience  to  give  up  de- 
pendence upon  merely  arbitrary  rules,  and  to  rely  upon  his  own 
judgment  and  taste  may,  by  varying  sizes  and  styles  of  letters, 
length  of  word  lines,  etc.,  obtain  a  finer  and  much  more  subtle  effect. 

To  acquire  this  authority  in  modern  lettering  it  is  necessary 
to  observe  and  study  the  work  turned  out  today  by  the  best  de- 
signers and  draftsmen,  such  as  the  drawings  of  Edward  Penfield, 
Maxfield  Parrish,  A.  B.  Le  Boutillier  and  several  others.  The 
architectural  journals,  also,  publish  from  month  to  month  beauti- 
fully composed  and  lettered  scale  drawings  by  such  draftsmen  as 
Albert  E.  Ross,  H.  Van  Buren  Magonigle,  Claude  Fayette  Brag- 
don,  Will  S.  Aldrich  and  others,  who  have  had  precisely  the  same 
problem  to  solve  as  is  presented  to  the  draftsman  in  every  new 
office  drawing  that  he  begins. 

Of  course,  the  freer  and  the  further  removed  from  a  purely 
Classic  capital  form  is  the  letter  shape  employed  by  the  drafts- 
man, the  less  obliged  is  he  to  follow  Classic  precedent ;  but  at  the 
same  time  he  will  find  that  his  drawing  at  once  tends  more  toward 
the  bizarre  and  eccentric,  and  the  chances  are  that  it  will  lose  in 
effectiveness,  quietness,  legibility  and  strength. 

The  student  will  soon  find  that  he  unconsciously  varies  and 
individualizes  the  letters  that  he  constantly  employs,  until  they 
become  most  natural  and  easy  for  him  to  form.  This  insures  his 
developing  a  characteristic  letter  of  his  own,  even  when  at  the 
start  he  bases  it  upon  the  same  models  as  have  been  used  by  many 
other  draftsmen. 


190 


26  ARCHITECTURAL   LETTERING 

niNUSCULE  OR   SHALL  LETTERS. 

In  taking  up  the  use  of  the  small  or  minuscule  letter,  a  word 
of  warning  may  be  required.  While  typographical  work  may 
furnish  very  valuable  models  for  composition  and  for  the  individ- 
ual shapes  of  minuscule  letters,  they  should  never  be  studied  for 
the  spacing  of  letters,  as  such  spacing  in  type  is  necessarily  arbi- 
trary, restricted  and  often  unfortunate.  Among  the  lower  case 
types  will  be  found  our  best  models  of  individual  minuscule 
letter  forms,  and  the  Caslon  old  style  is  especially  to  be  com- 
mended in  this  respect;  but  in  following  these  models  the  aim 
must  be  to  get  at  and  express  the  essential  characteristics  of  each 
letter  form,  to  reduce  it  to  a  "skeleton"  after  much  the  same 
fashion  as  has  already  been  done  with  the  capital  letter,  rather 
than  to  strive  to  copy  the  inherent  faults  and  characteristics  of 
a  type-minuscule  letter.  The  letter  must  become  a  "pen  form" 
before  it  will  be  appropriate  or  logical  for  pen  use;  in  other 
words,  the  necessary  limitations  of  the  instrument  and  material 
must  be  yielded  to  before  the  letter  will  be  amenable  to  use  for 
lettering  architectural  drawings. 

The  small  letters  shown  in  Figs.  17,  18  and  20  are  all 
adapted  from  the  Caslon  or  some  similar  type  form,  and  all  ex- 
hibit their  superiority  of  spacing  over  the  possible  use  of  any 
type  letter.  Fig.  20  is  a  particularly  free  and  beautiful  example 
indicating  the  latent  possibilities  of  the  minuscule  form  that  are 
as  yet  almost  universally  disregarded.  An  instance  of  the  use 
of  the  small  letter  shown  in  a  complete  alphabet  in  Fig.  10,  may 
be  seen  in  Figs.  9  and  13. 

In  lettering  plans  for  working  drawings,  the  small  letter  ia 
used  a  great  deal.  All  the  minor  notes,  instructions  for  the 
builders  or  contractors,,  and  memoranda  of  a  generally  unimpor- 
tant character,  are  inscribed  upon  the  drawing  in  these  letters. 
Referring  again  to  Fig.  10,  the  letters  at  the  top  of  the  page  would 
be  those  used  for  the  principal  title,  the  name  of  the  drawing, 
the  name  of  the  building  or  its  owner,  while  the  outline  capitals 
would  be  used  in  the  small  size  beneath  the  general  title,  to  indicate 
the  scale  and  the  architect,  together  with  his  address.  In  a  small 
building,  or  one  for  domestic  use,  these  same  letters  would  be 
employed  in  naming  the  various  rooms,  etc.,  although  in  an 


200 


s^r^B 

i¥R 


ARCHITECTURAL    LETTERING  27 

elaborate  ornamental  or  public  building,  letters  similar  to  those 
in  the  principal  title  might  be  better  used,  while  the  minuscule 
letter  would  be  utilized  for  all  minor  notes,  memoranda,  direc- 
tions, etc.  By  referring  to  Figs.  3,  5,  7,  8,  9,  13  and  14,  examples 
from  actual  working  drawings  and  plans  are  shown,  which  should 
sufficiently  indicate  the  application  of  this  principle. 

It  must  again  be  emphasized  that  practice  in  the  use  of  these 
forms  combined  together  in  words,  as  well  as  in  more  diffi- 
cultly composed  titles  and  inscriptions  where  various  sizes  and 
kinds  of  letters  are  employed,  is  the  only  method  by  which  the 
draftsman  can  become  proficient  in  the  art  of  lettering;  and 
even  then  he  must  intelligently  study  and  criticise  their  effect 

INTERJLVDI/S 
beneath,   the*  Lines   of  SIR. 
RICHARD    LOVELACE/  VT 
POEM  oafled  —  "  To  Luoafta 
on   going1    to    the_>    w^ars" 
wkioli    sattK   : 

Fig.  20.     Pen-drawn  Heading,  by   Harry  Everett  Townsend. 

after  they  are  finished,  as  well  as  study  continually  the  many  good 
drawings  carrying  lettering  reproduced  in  the  architectural  jour- 
nals. For  this  purpose,  in  order  to  keep  abreast  of  the  modern 
advance  in  this  requirement,  he  must  early  learn  to  distinguish 
between  the  instances  of  good  and  bad  composition  and  lettering. 

ARCHITECTURAL  INSCRIPTION  LETTERING. 

The  use  of  a  regular  Classic  letter  for  any  purpose  neces- 
sitates the  reversion  to  and  the  study  of  "actual  Classic  examples 
for  spacing  and  composition.  In  using  this  letter  in  a  pen- 
drawn  design,  certain  changes  must  be  made  in  adapting  it  from 
the  incised  stone-cut  form — which  variations  are,  of  course,  prac- 
tically the  reverse  of  those  required  in  first  adapting  the  letter  for 
use  in  stone.  The  same  letter  for  stone  incision  requires,  in 
addition,  a  careful  consideration  of  the  nature  of  the  material, 
and  the  spacing  and  letter  section  that  it  allows.  Also  the  effect 


28 


ARCHITECTURAL    LETTERING 


A 


! 


FGHIK 

IL 

C  RSTV 


Fig.  21.    Study  for  Lettering  on  Granite  Frieze  of  Boston  Public  Library, 
McKim,  Mead  &  White,  Architects. 


ARCHITECTURAL   LETTERING  29 

of  a  letter  in  the  inscription  in  place  must  be  carefully  studied, 
its  height  above  or  below  and  relation  to  the  eye  of  the  observer. 
The  fact  is  that  the  letter  form  must  in  this  case  be  determined 
solely  by  the  light  and  shadow  cast  by  the  sun  on  a  clear,  bright 
day,  or  diffused  more  evenly  on  a  cloudy  one.  If  in  an  interior 
location  its  position  in  regard  to  light  and  view-point  is  even  more 
important,  as  the  conditions  are  less  variable. 
CLASSIC  ROMAN  LETTERS. 

In  any  letter  cut  in  stone,  or  cast  in  metal,  it  is  not  the  out- 
line of  the  letter  that  is  seen  by  the  eye  of  the  observer,  but  the 
shadow  cast  by  the  section  used  to  define  the  letter.  This  at  once 
changes  the  entire  problem  and  makes  it  much  more  complicated. 
In  incising  or  cutting  a  letter  into  an  easily  carved  material,  such 
as  stone  or  marble,  we  have  the  examples  left  us  by  the  inventors, 
or  at  least  the  adapters,  of  the  Roman  alphabet.  They  have  gen- 
erally used  it  with  a  V-sunk  section,  and  in  architectural  and 
monumental  work  this  is  still  the  safest  method  and  the  one  most 
generally  followed.  One  improvement  has  been  made  in  adapt- 
ing it  to  our  modern  conditions.  The  old  examples  were  most 
often  carved  in  a  very  fine  marble  which  allowed  a  deep  sinkage 
at  a  very  sharp  angle,  thus  obtaining  a  well-defined  edge  and  a  deep 
shadow.  In  most  modern  work  the  letters  are  cut  in  sandstone 
or  even  in  such  coarse  material  as  granite,  where  sharp  angles  and 
deep  sinkage  of  the  letter-section  is  either  impossible,  or  for  com- 
mercial reasons  influencing  both  contractors  and  stonecutters,  very 
hard  to  obtain.  To  counterbalance  this  fault  a  direct  sinkage 
at  right  angles  to  the  surface  of  the  stone  before  beginning  the 
V  section  has  been  tried,  and  is  found  to  answer  the  purpose 
very  well,  as  it  at  once  defines  the  edge  of  the  letter  with  a  sharp 
shadow.  See  the  two  large  sections  shown  in  the  upper  part  of 
Fig.  31. 

This  section  requires  a  letter  of  pretty  good  size  and  width 
of  section,  and,  therefore,  may  be  used  only  on  work  far  removed 
from  the  eye,  as  is  indeed  alone  advisable.  An  inscription  that 
is  to  be  seen  close  at  hand  must  rely  upon  the  more  correct  section 
and  be  cut  as  deeply  as  possible.  For  lettering  placed  at  a  great 
height,  an  even  stronger  effect  may  be  obtained  by  making  the 
incised  section  square,  and  sinking  it  directly  into  the  stone. 


205 


30 


ARCHITECTURAL   LETTERING 


Such  pleasant  grading  of  shadows   as  may  be  attained  by  the 
other  method  is  then  impossible,  and  there  are  no  subtle  cross 


Fig.  22.    Classic  Roman  Alphabet. 
From  Marble  Inscriptions  in  the  Roman  Forum. 

lights  on  the  rounding  letters  to  add  interest  and  variety,  but 
the  letter  certainly  carries  farther  and  has  more  strength. 


206 


ARCHITECTURAL    LETTERING 


31 


In  Fig.   21  is  shown  a  photograph  from  a  model  of  the 
incised  V-sunk  letters  cut  in  granite  on  the  frieze  of  the  Boston 


Fig.  23.    Fragments  of  Classic  Roman  Inscriptions. 

Public  Library.    This  photograph  indicates  the  shadow  effect  that 
defines  the  incised  form  of  the  letter,  and  will  assist  the  student 


207 


32  AECHITECTUKAL   LETTERING 

somewhat  in  determining  the  section  required  for  the  best  effect. 
It  will  be  observed  that  this  letter  is  different  in  character  from 
the  one  used  by  the  same  architects  in  a  different  material,  sand- 
stone, shown  in  Fig.  24. 

In  Fig.  22  is  shown  an  alphabet  redrawn  from  a  rubbing  of 
Roman  lettering,  and  in  Fig.  23  are  shown  portions  of  Classic 
inscriptions  where  letters  of  various  characters  are  indicated. 
These  letters  were  very  sharply  incised  with  a  V-sunk  section  in 
marble,  and  were  possibly  cut  by  Greek  workmen  in  Rome.  It 
is  on  some  such  alphabet  as  this  that  we  must  form  any  modern 
letter  to  be  used  in  a  Classic  inscription  or  upon  a  Classic  build- 
ing. These  forms  should  be  compared  with  the  letters  shown  in 
Fig.  24,  on  the  Architectural  Building  at  Harvard,  by  McKim, 
Mead  &  White,  architects,  where  they  were  employed  with  a  full 
understanding  of  the  differences  in  use  and  material.  The  Roman 
letter  was  cut  in  marble;  the  modern  letter  in  sandstone.  Both 
were  incised  in  the  V-sunk  section,  but  the  differences  in  material 
will  at  once  indicate  that  the  modern  letter  could  not  have  been 
cut  as  clearly  nor  as  deeply  as  the  old  one.  The  modern  letter 
was  done  a  little  more  than  twice  the  original  size  of  the  old  one, 
which  explains  certain  subtleties  in  its  outline  as  here  drawn. 
The  sandstone  being  a  darker  material  than  the  marble,  the  letter 
should  of  necessity  be  heavier  and  larger  in  the  same  location, 
in  order  to  "carry"  or  be  distinguishable  at  the  same  distance ; 
while  the  Classic  example,  being  sharply  and  deeply  cut  in  a 
beautiful  white  material  which  even  when  wet  retains  much  of  its 
purity  of  color,  would  be  defined  by  a  sharper  and  blacker  outline, 
and  therefore  be  more  easily  legible,  other  conditions  being  the 
same,  even  for  a  longer  distance.  In  both  these  figures,  the 
composition  of  the  letters  may  be  seen  to  advantage,  as  in  even 
the  Classic  example,  where  they  are  alphabetically  arranged,  they 
are  placed  in  the  same  relation  to  each  other  as  they  held  in  the 
original  inscription.  A  complete  alphabet  of  the  letter  shown  in 
word  use  in  Fig.  24,  is  shown  at  larger  size  in  Fig.  25. 

Although  the  lettering  of  the  Italian  Renaissance  period  was 
modeled  closely  after  the  Classic  Roman  form,  it  was  influenced 
by  many  different  considerations,  styles  and  peoples. 


808 


34 


ARCHITECTURAL    LETTERING 


Fig.  25.    Complete  Alphabet. 
Redrawn  from  Inscription  on  Architectural  Building  (See  Fig.  24). 


210 


ARCHITECTURAL  LETTERING.         35 


Fig.  25.     (Continued) 


21J 


ARCHITECTURAL    LETTERING 


Fig.  26.     Fragment  of  Italian  Renaissance  Inscription. 
From  the  Marsuppini  Tomb  in  Florence. 


<       V 

j! 

II 


g  * 


s 

"3 

si 


i. 


O    x: 

a  | 

3  5 


ARCHITECTURAL   LETTERING  37 


ITALIAN  RE- 
NAISSANCE 
LETTERING 
ABCDEFG 
HIJKLMNE 
OPQRSTU 
VXWYZ 

Fig.  27.    Italian  Renaissance  Lettering. 
Adapted  from  Inscription  shown  in  Fig.  26. 


215 


38  AECHITECTUEAL    LETTERING 

In  Fig.  26  is  shown  a  fragment  of  the  inscription  on  the 
Marsuppini  tomb  at  Florence.  This  outline  letter  was  traced 
from  a  rubbing,  and  shows  very  nearly  the  exact  character  of  tho 
original,  a  marble  incised  letter.  Fig.  27  is  an  alphabet  devised 


Fig.  28.     Italian   Renaissance  Inscription  at   Bologna. 

from  this  incised  letter  for  use  as  a  pen-drawn  form  and  redrawn 
at  the  same  size.  It  will  be  noticed  that  in  the  letters  shown  in 
the  four  lower  lines  a  quite  different  serif*  treatment  has  been 
adopted,  and  certain  of  the  letters,  such  as  the  E's,  have  been 

/nKnfl-9-D-lfl 
QOBl-DQRfiQH 


Fig.  29.     Italian  Renaissance  Inscription,   Chiaravelle  Abbey  in  Milan. 

"extended"  or  made  wider  in  proportion.  These  variations  are 
such  as  modern  taste  would  generally  advocate,  but  in  the  first 
three  lines  of  this  plate  the  feeling,  serif  treatment  and  letter 
width  of  the  original  have  been  retained;  the  only  change  has 


*NOTE.    The  "serif"  is  the  short  spur   or   cross   stroke   used   to   define 
and  end  the  main  upright  and  horizontal  lines  of  the  letter. 


£516 


ARCHITECTURAL    LETTERING 


QO 


ffiQOQ 
QQ0G 


OVGJI2 


Fig.  30.    Alphabet  of  Uncial  Gothic  Capital  Letters,  16th  Century. 


217 


40 


ARCHITECTURAL   LETTERING 


been  to  narrow  up  the  thin  lines  in  relation  to  the  thick  lines 
to  the  proportions  that  they  should  have  in  a  solidly  black  and 
inked-in  letter  form. 

The  two  small  panels,  one  from  a  monument  in  Bologna,  and 
one  from  the  Chiaravelle  Abbey  in  Milan,  Figs.  28  and  29,  show 
a  letter  which  was  incised  in  stone  and  follows  the  so-called  uncial 
or  round  form,  with  characteristics  showing  the  probable  influence 
of  the  Byzantine  art  and  period.  These  two  inscriptions  may  be 
compared  with  another  alphabet  showing  the  uncial  character 
when  used  in  black  against  a  white  page,  as  in  Fig.  30.  This 
same  style  of  letter  was  often  used  in  metal,  and  may  be  seen  in 
many  of  the  mortuary  slabs  of  this  and  succeeding  periods. 


^SECTIONSv 

•   /\      ''STONE-      /\ 


-MARfilX-  -GRANITE- 

•METAL- 


-WGDD 


Fig.  31.     Inscription  Letter  Sections. 

In  many  of  the  Kenaissance  wall  monuments  the  V-sunk 
letter  sections  have  been  filled  with  a  black  putty  to  make  the 
letter  very  clear,  and  when  this  falls  out,  as  it  often  does,  the 
V-cut  section  may  still  be  seen  behind  it.  Also  in  many  Italian 
floor  slabs  the  letters  are  either  V-sunk  or  shallow,  square  sinkages 
filled  with  mastic,  or  sometimes  they  are  of  inlaid  marble  of  a 
color  different  from  the  ground.  Again  a  V-sunk  letter  section 
sometimes  carries  an  additional  effect  because  it  is  smoothly  cut 


218 


ARCHITECTURAL  LETTERING  41 


ABCDEFG 
HljKLMNM 
NOPQQRFL 
SVTWXYZ 


Aatcde&fiijkl 


Fig.  32.     English   l?th  Century  Letters,  from  Tombstones. 


219 


42  ARCHITECTURAL   LETTERING 

and  finished  and  the  surface  of  the  stone  is  left  rough,  thus 
obtaining  a  different  texture  and  color  effect;  or,  though  more 
rarely,  the  opposite  treatment  may  be  used.  Then,  again,  the 
sides  of  the  letter  sinkage  may  be  painted  or  gilded.  Often  even 
the  shadow  is  painted  into  the  section,  but  this  is  generally  done 
on  interior  cutting  where  there  is  no  direct  light  from  the  sun, 
because  if  direct  sunlight  does  fall  upon  a  letter  so  treated,  a  very 
amusing  effect  occurs  when  the  shadow  is  in  any  other  position 
than  that  occupied  by  the  painted  representation. 

For  still  further  effects,  raised  lettering  may  be  cut  on  stone 
surfaces.  This  is  more  expensive,  as  it  necessitates  the  more  labor 
in  cutting  back  the  entire  ground  of  the  panel,  but  for  certain 
purposes  it  is  very  appropriate. 

In  such  a  letter  the  section  may  be  a  raised  V-shape,  or  it 
may  be  rounded  over  to  make  a  half  circle  in  section,  as  drawn 
in  Fig.  31.  This  latter  form  is  especially  effective  in  marble, 
but  it  is,  of  course,  very  delicate  and  does  not  carry  to  any 
great  distance.  Its  use  should  be  restricted  to  small  monu- 
mental headstones  or  to  lettering  to  be  read  close  to,  and  below 
the  level  of,  the  eye. 

A  raised  letter  is  more  generally  appropriate  for  cast  copper 
and  bronze  tablets,  when  its  section  may  be  a  half  round,  a 
raised  V-form,  or  square-raised  with  sharp  corners;  or,  better 
still,  a  combination  of  square  and  V-raised  with  a  hollow  face. 
See  Fig.  31.  Experience  has  proved  that  this  last-named  section 
produces  the  most  telling  letter  for  an  ordinary  cast-metal  panel. 

Fig.  32  shows  an  alphabet  of  a  letter  derived  from  English 
tombstones.  This  letter  was  cut  in  slate  or  an  equally  friable 
material,  and  was  comparatively  shallow.  A  certain  tendency 
toward  easing  the  acute  angles  may  be  observed  in  this  alphabet, 
evidently  on  account  of  the  nature  of  the  material  in  which  it 
was  carved  rendering  it  easily  chipped  or  broken. 

In  wood  carving,  a  letter  exactly  reversing,  the  V-sunk  sec- 
tion with  direct  sinkage,  gives  the  best  effect  for  a  raised  letter. 

Every  material,  from  its  nature  and  limitations,  requires 
special  consideration.  A  letter  with  many  angles  is  not  adapted 
to  slate,  as  that  material  is  liable  to  chip  and  sliver;  hence  an 


220 


ARCHITECTURAL  LETTERING  43 


Fig.  33.    German  Black  Letters,  from  a  Brass. 


221 


44  ARCHITECTURAL   LETTERING 

uncial  form  with  rounded  angles  suggests  itself  (as  in  Fig.  29), 
and  is,  indeed,  frequently  used. 

It  would  be  quite  impossible  to  take  up  in  detail  the  entire 
list  of  available  materials  and  consider  their  limitations  at  length, 
as  the  task  would  be  endless.  For  the  same  reason,  it  is  not 
possible  to  take  up  each  letter  style  and  consider  its  use  in  stone 
and  other  materials.  Of  course,  a  Roman  letter  or  any  other 
similar  form  when  drawn  for  stone-incised  use  must  have  its 
narrow  lines  at  least  twice  as  wide  as  when  drawn  in  ink,  black 
against  a  white  background.  (Compare  Figs.  26  and  27.) 

Experience  and  intuition  combined  with  common  sense  will 
go  farther  than  all  the  theory  in  the  world  to  teach  the  limitations 


Fig.  34.     Black-Letter  Alphabet. 


required  by  letter  form  and  material.  The  student,  however, 
should  bear  in  mind  that  it  is  not  necessary  that  he  himself  should 
make  a  number  of  mistakes  in  order  to  learn  what  not  to  do.  He 
may  get  just  as  valuable  information  at  a  less  cost  by  observing 
the  mistakes  and  successes  of  others  in  actually  executed  work, 
and  avail  himself  of  their  experience  by  applying  it  with  intelli- 
gence to  his  own  problems  and  requirements. 

GOTHIC   LETTERING. 

Gothic  lettering  is  extremely  difficult,  and  has  little  practical 
use  for  the  architectural  designer  or  draftsman.  It  is  often 
appropriate,  but  it  is  quite  possible  to  get  along  without  employing 
this  form  at  all.  However,  in  case  he  should  require  a  letter  of 
this  style,  it  would  be  better  to  refer  him  to  some  book  where  he 
may  study  its  characteristics  more  -particularly,  remembering  it 
is  just  as  important  he  should  know  something  of  the  history, 


ARCHITECTURAL   LETTERING 


45 


uses  and  materials  from  which  this  letter  has  been  taken,  as  in 
any  instance  of  the  use  of  the  Roman  form.    Indeed,  it  might  be 


Fig.  35.     Italian  Black  Letters,  after  Bergomensis. 

said,  it  is  even  more  important,  as  the  Gothic  letter  is  more  uni- 
versally misunderstood  and  misapplied  than  the  simpler  Roman 
letter. 


ARCHITECTURAL    LETTERING 


Fig.  36.    English   Gothic  Text. 


224 


AECHITECTUEAL  LETTERING  47 

The  alphabet  of  German  blac!:  letters:  shown  in  Fig.  35  is 
taken  from  a  very  beautiful  example  of  Gothic  black  letter  devised 
by  Jacopus  Phillipus  Foresti  (Bergomensis)  and  used  by  him  in 
the  title  page  of  "De  Claris  Mulieribus,"  etc.,  published  in  Fer- 
rara  in  1497.  Although  Italian,  this  letter  is  as  German  in 
character  as  any  of  the  examples  from  the  pen  of  Albrecht  Diirer. 
A  German  black  letter  redrawn  from  a  brass  is  shown  in  Fig.  33, 
while  an  English  form  of  Gothic  letter  is  shown  in  Fig.  36. 

In  Fig.  34  is  another  example  of  a  black-letter  alphabet. 
The  entire  effect  of  a  black-letter  page  depends  upon  the  literal 
interpretation  of  the  title  "black  letter."  That  is,  the  space 
of  white  between  and  among  the  letters  should  be  overbalanced 
by  the  amount  of  black  used  in  denning  the  letter  form  itself. 

Inasmuch  as  this  letter  is  likely  to  be  used  but  little  by 
architectural  draftsmen,  and  as  it  ir,  a  much  more  difficult  form 
to  compose  than  even  the  Roman  type,  it  seems  better  to  refer 
the  student  to  some  treatise  where  its  characteristics  are  taken 
up  more  thoroughly  and  at  greater  length. 

Any  draftsman  having  occasion  to  use  lettering  to  any  extent 
should  have  some  fairly  elaborate  textbook  always  at  .hand  for 
reference,  and  it  is  believed  that  "Letters  and  Lettering,"  a  larger 
treatise  published  by  the  Bates  and  Guild  Company  of  Boston, 
from  which  several  of  the  illustrations  reproduced  in  this  pam- 
phlet have  been  borrowed,  contains  more  material  in  an  easily 
available  form  than  any  other  textbook  on  the  subject. 


EXAMINATION   PLATES. 

In  addition  to  the  following  Examination  Plates  the  student 
is  expected  to  make  careful  reproductions  of  the  lettering  in  the 
foregoing  section. 

PLATES  I,  II,  III. 

Draw  the  alphabet,  using  the  same  construction  as  given  in 
Figs.  1  and  2,  and  making  each  letter  two  inches  high.  Put  ten 
letters  on  each  of  tlio  firct  two  plates,  and  on  the  third  arrange  the 
remainder,  including  the  two  forms  of  W  given  in  Fig.  2. 


225 


48  ARCHITECTURAL  LETTERING 

PLATE  IV. 

Make  a  careful  reproduction  of  Fig.  10  on  the  left-hand  side 
of  the  plate.  The  letters  should  be  of  the  same  size  as  in  Fig.  10. 
On  the  right-hand  side  of  the  plate  use  the  letter  forms  shown  in 
Fig.  10  and  of  the  same  size,  and  letter  the  following  title,  arrang- 
ing the  legend  to  look  well  on  the  plate:  Front  Elevation,  Coun- 
try House  at  Glen  Ridge,  New  Jersey,  Aug.  24,  1903.  David 
Carlson  Mead,  Architect,  No.  5925  State  St.,  Chicago,  111. 

PLATE  V. 

Reproduce  on  this  plate  Figs.  27  and  32  of  the  Instruction 
Paper,  using  letters  of  the  same  size. 

PLATE  VI. 

On  the  left-hand  side  of  this  plate,  copy  the  lettering  shown 
in  Fig.  9,  making  the  letters  at  least  as  large  as  those  in  the  illus- 
tration. On  the  right-hand  side,  following  the  same  style  and 
size,  letter  the  following  title:  Detail  of  Entrance  Porch,  Coun- 
try House  at  Glen  Ridge,  New  Jersey,  Sept.  10,  1903.  David 
Carlson  Mead,  Architect,  No.  5925  State  St.,  Chicago,  111. 
This  plate  to  be  done  in  pencil  only. 

PLATE  VII. 

Using  individual  letter  forms  like  those  shown  in  Figs.  24 
and  25,  letter  the  following  title:  Museum  of  Architecture, 
Erected  in  Memory  of  John  Howard  Shepard,  First  President 
Technology,  Bangor,  Maine. 

The  letters  should  be  of  a  size  suited  to  the  title;  the  title 
should  occupy  five  lines. 

All  plates  except  Plate  VI  should  be  inked  in.  The 
student  should  first  lay  out  his  lettering  in  pencil  in 
order  to  obtain  the  proper  spacing  of  the  center  line 
on  his  page  or  panel.  He  should  also  place  guide  lines 
in  pencil  at  the  top  and  bottom  of  his  lettering  for  both 
capitals  and  small  letters. 

The  plates  should  be  drawn  on  a  smooth  drawing 
paper  11  inches  by  15  inches  in  size.  The  panel  inside 
the  border  lines  should  be  10  inches  by  14  inches.  For 
best  work  Strathmore  (smooth  finish)  or  Whatman's 
hot-pressed  drawing  paper  is  recommended. 

The  date,  the  student's  name  and  address,  and  the 
plate  number  should  be  lettered  on  each  plate  in  one- 
line  letters  such  as  are  shown  in  Fig.  10. 


'-pKE  STUDY  OF  ARCHITECTURAL,  DRAWING 
•*•  INCLUDES  PREPARATORY  WORK  IN  USE 
OF  INSTRUMENTS,  MECHANICAL  DRAWING, 
THE  WORKING  OUT  OF  PROBLEMS  IN  DE- 
SCRIPTIVE GEOMETRY,  CASTING  SHADOWS, 
AND  PERSPECTIVE,  FREEHAND  DRAWING, 
LETTERING  AND  RENDERING  IN  PEN  AND 
INK,  WASH  AND  COLOR,  THE  STUDY  OF  THE 
ORDERS  AND  THEIR  USE  IN  DESIGN,  AND  THE 
CARRYING  OUT  OF  THESE  DESIGNS  IN  WORK- 
ING DRAWINGS.  ALL'THESE  MUST  BE  CARE- 
FULLY STUDIED  IN  DETAIL.  IN  THIS  BOOK 
WE  CONSIDER  SOME  OF  THE  GENERAL  PRIN- 
CIPLES OF  ARCHITECTURAL  DRAWING,  IN- 
CLUDING RENDERING  IN  WASH  AND  COLOR. 


FRAGMENTS  FROM  ROMAN  TEMPLE  AT  CORI,  ITALY. 
One  of  the  most  interesting  examples  of  architectural  rendering-  in  existence. 

Original  drawing  by  Emanuel  Brune. 
Reproduced  fy  permission  of  Massachusetts  Institute  of  Technology. 


ARCHITECTURAL  DRAWING. 

PART  I. 


Instruments  and  Materials.  The  study  of  mechanical  draw- 
ing has  acquainted  the  student  with  the  use  of  the  ordinary  drawing 
instruments  and  materials.  Those  required  for  architectural  work 
are  substantially  the  same. 

Pencils.  Soft  pencils  are  used;  a  draftsman  cannot  have  ad- 
vanced far  in  ability  before  becoming  familiar  with  the  B  B  pencil, 
which  will  draw  any  line,  from  the  finest  to  the  coarsest,  and  give  the 
greatest  freedom  for  all  kinds  of  work,  from  sketching  to  full-size 
details. 

In  architects'  offices  it  is  an  almost  invariable  rule  for  the  new- 
fledged  student  and  young  draftsman  to  use  hard  pencils — "nails," 
as  they  are  called  by  more  experienced  men.  A  soft  pencil  gives  a 
much  more  agreeable  expression  of  ideas  on  paper  than  a  hard  pen- 
cil; the  latter  should  be  reserved  for  mechanical  work.  The  drafts- 
man must  not  allow  himself  to  become  less  accurate  as  he  gains  greater 
freedom,  and  the  use  of  a  soft  pencil  gives  no  excuse  for  a  careless 
or  slovenly  drawing.  II  H,  F  and  B  B  will  be  found  the  most  useful 
grades.  For  laying  out  work,  H  H  is  often  used. 

Erasers.  The  noted  architect,  H.  H.  Richardson,  said  that 
"an  eraser  is  a  draftsman's  best  friend. "  For  work  on  detail  paper, 
a  firm  rubber  is  best,  but  a  soft  rubber  is  most  serviceable  for  remov- 
ing ordinary  pencil  marks  from  all  kinds  of  paper,  including  the  thin 
tracing  papers,  without  injury  to  the  surface.  It  will  be  found  that 
the  eraser  can  be  frequently  used  in  studying  outlines,  and  it  is  the 
custom  for  rapid  draftsmen  to  let  the  pencil  lines  run  where  they 
will,  trusting  to  the  eraser  to  make  the  outline  true.  A  large  size 
ink  eraser  will  be  found  easier  on  the  hands  than  a  small  one.  In 
making  erasures  a  typewriter's  shield  of  metal  with  different  sizes 

For  some  of  the  text  and  several  of  the  illustrations  in  ABCHTTECTTTBAIJ  DRAWING 
the  French  work,  Elements  et  Theorie  de  1'Architecture,  Vol.  I.,  by  Guadet,  has  been 
drawn  on  freely.  The  four  volumes  of  this  work  by  Guadet  cannot  be  too  highly  recom- 
mended. Even  those  not  familiar  with  the  French  language  will  find  it  an  excellent  ref- 
erence work  on  account  of  the  numerous  useful  illustrations  it  contains. 


229 


ARCHITECTURAL  DRAWING 


of  openings,  corresponding  to  the  erasures  to  be  made,  called  in 
draftsman's  parlance,  the  "  office  goat, "  is  useful.  .  Holes  can  be  cut 
in  cardboard  or  detail  paper  for  this  purpose. 

Set  of  Instruments.  Good  instruments  are  advisable,  as  it 
is  hard  enough  to  make  good  drawings,  even  with  the  best.  Com- 
passes with  pencil  and  pen  points  and  extension  legs;  large  and  small 
dividers,  bow-pen  and  bow-pencil,  and  two  ruling  pens,  form  the 
usual  equipment  of  the  architectural  draftsman's  instrument  case. 
Besides  these  a  simple  form  of  proportional  dividers  will  be  found 
very  useful,  especially  in  changing  drawings  from  one  scale  to  another, 
and  also  when  it  is  desired  to  translate  a  rough  sketch  into  a  definite 
scale,  preserving  the  proportions  of  the  sketch.  A  small  protractor 
will  be  sufficient  for  the  rare  occasions  when  an  architect  lays  off 
angles  to  a  given  number  of  degrees. 

Beam  compasses  are  useful,  though  many  offices  -have  only 
long  straight  edges  and  carpenters'  clamps  for  this  purpose.  Some- 
times a  taut  string  .will  serve  the  purpose  where  perfect  accuracy  is 
not  required,  or  two  points  on  a  straight  edge  may  be  taken,  one 
point  being  held  with  one  hand,  while  a  curve  is  struck  from  another 
point  by  a  pencil  held  in  the  other  hand. 

Drawing  Boards.  It  is  necessary  to  have  two  drawing  boards, 
one  a  "Double  Elephant"  size,  28  X  42  inches,  to  accommodate 
paper  of  a  size  called  "  Double  Elephant, "  which  is  27  X  40  inches, 
thus  allowing  \  inch  at  the  sides  and  an  inch  at  the  ends;  the  other 
board  23  X  32  inches,  to  accommodate  the  size  of  paper  called 
"Imperial,"  which  is  22  X  30  inches.  It  will  be  found  convenient 
also  to  have  a  small  "  Half  Imperial "  board  23  X  16  inches  in  size. 
These  boards  should  have  a  straight  grained  cleat  at  each  end,  or 
should  be  entirely  surrounded  with  a  framework  of  hard  wood,  having 
soft  wood  in  the  center.  Cherry  makes  a  good  hard  wood  for  the 
frames  or  ends,  and  pine  or  white  wood  for  center.  In  many  offices 
the  boards  are  made  entirely  of  pine  or  white  wood,  but  it  will  be 
found  preferable  to  have  better  made  boards,  and  to  take  good  care 
of  them,  keeping  them  square.  If  adjacent  sides  of  the  board  make 
a  true  right-angle,  the  T-square  can  be  used  on  these  two  sides,  which 
is  an  advantage  in  drawing  long  lines.  When  the  boards  have  cleats 
at  the  ends  only,  however,  it  is  always  necessary  to  use  the  T-square 
from  the  left-hand  end  only. 


230 


ARCHITECTURAL  DRAWING 


Triangles  and  T-Squares.  There  are  T-squares  to  cor- 
respond to  the  size  of  the  boards.  They  are  usually  made  of  straight, 
fine  grained  hard  wood.  The  simplest  form  of  fixed  T-square  will 
be  found  the  most  satisfactory  for  general  office  use.  As  even  the 
best  are  apt  to  vary,  it  is  a  good  idea  to  number  every  T-square  in  the 
office  and  note  the  number  on  commencing  a  drawing.  If,  however, 
the  T-square  is  changed,  and  the  new  square  does  not  line  up  with 
the  old  work,  a  thumb  tack  in  the  edge  of  the  head  next  the  drawing 
board  may  be  used  to  bring  the  blade  into  line,  as  shown  in  Fig.  1. 
The  drawing  edge  (upper  edge)  of  a  T-square  should  never  be  used 
as  a  straight  edge  for  paper  cutting. 

Two  triangles  are  required,  one  30  degrees  to  60  degrees,  and  one 
of  45  degrees.  Triangles  are  made  of  wood,  hard  rubber  or  celluloid. 

riaterials  for  Wash= Drawings.     For  tinting,  a  nest  of  tinting 
saucers,  brushes,  a  soft  sponge,  large  blotters,  a  stick  of  India  ink, 
a  slate  slab  for  grinding  it,  a 
half  cake  of   carmine  and  a 
half  tube  of  Prussian  blue  will 
make  a  good  beginning. 

Paper.  Paper  comes  in 
certain  conventional  sizes. 
"  Whatman's  paper  "  is  most 

easily  obtained  in  two   sizes,  i  ig.  i.  T-Squaro  with  Timmb  Tack, 

the  "Imperial,"  22X30inches, 

and  "  Double  Elephant,"  27  X  40  inches,  and  is  a  useful  paper  for 
all-around  architectural  work,  being  good  for  pencilling,  inking  in, 
and  wash  drawings;  colors  can  be  laid  on  it  even  after  erasures 
have  been  made.  The  Whatman  "  hot-pressed  "  paper  has  a  smooth 
surface  and  is  generally  used  for  fine  pencil  or  ink  drawings.  The 
Whatman  "cold-pressed  "  paper  has  a  rough  surface  and  good  texture, 
and  is  useful  for  all-around  work. 

Tinted  Papers.  Gray  or  other  colored  papers  are  frequently 
employed,  pencil  or  pen  and  ink  being  used  for  the  lines  and  shadows, 
and  chalk  or  Chinese  white  for  the  high  lights.  Pastels  and  water 
colors  are  used  on  special  colored  papers;  "  scratch  papers  "  are  those 
on  which  white  is  obtained  by  scratching  through  the  colored  surface 
of  the  paper.  Some  of  these  papers,  including  buff  or  manila  detail 
paper,  have  already  been  fully  described  under  the  subject  of  meehan- 


231 


ARCHITECTURAL  DRAWING 


ical  drawing.  The  process  of  stretching  paper  is  also  there 
described. 

Tracing  Paper.  In  architectural  work  a  great  deal  of  tracing 
paper  is  used.  A  cheap  manila  tracing  paper  is  convenient  for  rough 
preliminary  studies  not  intended  to  be  preserved.  "Alba,"  a  white 
tough  tracing  paper,  and  "  Economy, "  a  cheaper  form,  are  very  good 
for  pencil  sketching  and  also  for  careful  pencil  drawings.  Rowney's 
English  tracing  paper  is  very  transparent,  is  good  for  accurate  pen- 
cilling, and  takes  color,  but  becomes  brittle  with  age;  it  is,  however, 
the  best  paper  for  careful  studies  of  architectural  work.  Bond  paper 
which  comes  in  sheets  20  X  28  inches,  is  very  useful  for  working 
drawings  of  small  frame  houses,  as  the  drawing  can  be  inked-in  and 
blue  prints  taken  directly  from  this  paper  without  the  necessity  of 
tracing. 

Some  offices  make  many  of  their  details  in  black  pencil  on  this 
paper  and  where  work  on  different  houses  is  similar,  let  blue  prints 
of  these  details  serve  for  each  new  building. 

Tracing  Cloth.  Tracing  cloth  is  used  for  important  work 
where  the  tracing  will  be  roughly  used  or  where  changes  are  likely 
to  be  made  in  the  drawing.  In  drawing  on  tracing  cloth,  there  are 
three  ways  of  making  the  ink  flow  well:  (1)  The  most  common  is 
to  rub  powdered  chalk  over  the  surface,  dusting  off  the  superfluous 
chalk;  (2)  Benzine  applied  with  a  towel  will  clean  the  cloth;  (3) 
Oxgall,  a  preparation  obtainable  at  any  artists'  materials  store,  may 
be  mixed  with  the  ink.  Sometimes  pencil  drawings  are  made  directly 
on  the  cloth,  and  after  inking-in  benzine  is  used  to  remove  all  pencil 
marks.  As  a  rule,  the  rough  side  of  the  tracing  cloth  is  used,  but 
some  draftsmen  prefer  to  ink-in  on  the  smooth  side,  thinking  thev 
can  make  a  cleaner  line,  and  then  turn  the  cloth  over  to  color  the 
drawing  on  the  rough  side  with  water  colors  or  crayons. 

Scales.  Scales  for  architectural  work  are  like  those  used  for 
mechanical  drawing,  one-quarter  inch  to  the  foot  for  working  draw- 
ings, and  three-quarter  inch  to  the  foot  for  details,  being  the  cus- 
tomary scales  used  in  American  offices,  though  some  offices  use  one- 
eighth  inch  to  the  foot,  with  one-half  inch  to  the  foot  for  details — the 
custom  usually  followed  in  England.  It  is  customary  to  make  full- 
size  details  of  mouldings  and  of  special  constructive  parts.  Three- 
sixteenths  inch  to  the  foot  is  sometimes  useful  as  a  scale  drawing,  or 


232 


ARCHITECTURAL  DRAWING 


in  laying  out  stairs  in  section,  as  will  be  described  later.  This  scale 
is  also  frequently  used  for  exhibition  drawings.  One  and  one-half 
inch  to  the  foot,  one  inch  to  the  foot,  and  three  inches  to  the  foot,  are 
also  used.  For  the  scale  of  three  inches  to  the  foot,  the  ordinary 
quarter-inch  scale  may  be  read  as  inches  instead  of  feet,  as  one- 
quarter  inch  is  one-twelfth  of  three  inches.  The  three-quarter  inch 
scale  is  the  favorite  among  carpenters  for  the  reason  that  the  ordinary 
two-foot  rule  can  be  used  on  the  drawings;  as  there  are  twelve-six- 
teenths of  an  inch  in  every  three-quarters  of  an  inch,  each  sixteenth 
of  an  inch  on  the  rule  represents  one  inch  actual  measurement.  The 
inch  scale  is  very  popular  for  drawing  mantels,  interior  finish,  etc., 
where  the  total  dimensions  can  be  read  directly  from  the  two-foot 
rule,  each  inch  being  equal  to  the  foot  full  size. 

The  accompanying  illustration  of  an  architect's  scale,  Fig.  2, 
shows  the  usual  divisions  on  a  scale  for  ordinary  architectural  work. 


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Fig.  2.    Architects'  Scale. 

A  six-inch  scale  of  this  size  is  very  convenient  for  ordinary  measure- 
ments and  a  similar  one  eighteen  inches  or  two  feet  long  is  useful  for 
laying  out  larger  work.  This  scale  gives  the  full-size  measurements 
in  inches  divided  into  sixteenths  with  the  scales  of  sixteenths  reading 
in  the  reverse  order  from  zero  up,  so  that  the  number  can  be  read 
directly  from  a  sixteenth  scale  or  doubled  for  a  thirty-second  inch 
scale.  The  common  quarter-inch  and  eighth-inch  scales  are  given,  as 
well  as  the  half-inch  and  one-inch  scales.  The  useful  three-quarter 
inch  scale  is  given  with  the  three-sixteenths  scale  in  reverse  order. 

The  accompanying  sketch,  Fig.  3,  shows  how  a  scale  may  be 
used  in  laying  out  staircases  in  plan  and  section  much  more  rapidly 


235 


ARCHITECTURAL  DRAWING 


than  is  usual  in  architects'  offices.  The  sketch  shows  the  plan  and 
section  of  a  staircase  at  a  scale  of  one-quarter  of  an  inch  to  the  foot, 
the  staircase  to  be  three  feet  six  inches  wide.  The  section  shows 
that  the  floors  are  nine  feet  six  inches  between  finished  surfaces. 
As  it  is  desirable  to  economize  space,  the  stairs  are  to  be  laid  out  with 
about  seven  and  one-half  inches  rise  and  eleven  inches  tread.  Divid- 
ing nine  feet  six  inches  by  seven  and  one-half,  we  find  that  fifteen 


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Pig.  3.    Use  of  Scales  in  Laying  out  Stairs. 

risers  will  give  us  slightly  over  seven  and  one-half  inches.  To  lay 
out  fourteen  treads — which  locate  the  fifteen  risers  including  the  first 
and  last — instead  of  spacing  over  fourteen  treads,  start  from  the  first 
riser,  lay  off  parallel  to  run  of  stairs  in  plan  eleven  feet  on  the  quar- 
ter-inch scale;  then  draw  a  line  perpendicular  to  the  run  of  the  stairs. 
Tip  the  scale  until  the  zero  coincides  with  the  first  tread  and  twelve 


ARCHITECTURAL  DRAWING 


coincides  with  the  line  just  drawn.  Each  division  of  the  quarter 
scale  marked  off  as  a  scale  of  proportional  parts  will  give  us  a  series 
of  points  through  which  we  can  draw  parallel  lines  which  will  locate 
the  risers  eleven  inches  apart.  If  it  is  found  that  the  stairs  do  not 
arrive  at  the  point  desired,  the  scale  can  be  tipped  more  or  less  and 
each  tread  decreased  or  increased.  The  same  method  can  be  fol- 
lowed for  laying  out  the  stairs  in  elevation. 

LINE  DRAWING. 

Character  of  Line.  The  thickness  of  the  line  in  drawing 
should  be  the  same  throughout  its  length,  except  occasionally  in 
perspective  rendering.  The  line  may  vary  in  different  parts  of  the 
same  drawing,  and  in  different  drawings,  according  to  how  much  or 
how  little  detail  is  to  be  shown,  but  in  every  case  the  lines  should  be 
firm  and  clear.  Those  parts  of  an  elevation  which  are  nearest  to  the 
spectator  should  be  drawn  in  heavier  lines  than  the  more  distant  parts. 
Thick  lines  generally  tend  to  simplify  the  design.  The  outline  of 
the  curved  mouldings,  excepting  those  circular  in  section,  should  be 
drawn  freehand,  as  they  can  be  given  more  character  in  that  way 
than  if  made  with  the  compass. 

The  compass  should  be  used  in  such  a  way  that  the  point  will 
not  make  large  holes  in  the  paper.  The  arms  of  the  compass  should 
be  bent  so  that  the  pencil  point  and  needle  point  will  be  perpendicular 
to  the  paper.  Pencil  lines  should  be  made  without  a  heavy  pressure 
so  as  not  to  dent  the  paper.  The  ruling  pen  should  be  held  like  the 
pencil  and  used  very  lightly,  for  if  too  much  weight  is  put  upon  the 
pen,  the  paper  will  be  cut,  and  if  the  pen  is  pressed  too  hard  against 
the  T-square  the  blades  of  the  pen  will  be  closed  and  the  lines  become 
weaker.  It  is  also  necessary  that  the  ink  should  always  flow  freely 
from  the  drawing  pen.  It  should  be  renewed  frequently  and  the  pen 
should  be  cleaned  each  time  it  is  refilled.  If  the  ink  refuses  to  flow, 
it  frequently  can  be  started  by  touching  the  end  of  the  pen  to  the 
moistened  finger,  capillary  attraction  immediately  starting  the  ink 
to  flow. 

Ordinary  writing  ink  should  not  be  used  with  the  drawing  pen. 
After  the  drawing  is  inked  in,  the  pencil  lines  can  be  erased.  The 
student  will  eventually  become  accustomed  to  making  the  important 
lines  with  the  pencil  and  putting  in  many  of  the  lines  of  the  drawing 


237 


ARCHITECTUKAL  DRAWING 


immediately  in  ink,  between  limiting  lines  in  pencil.  But  the  drafts- 
man should  be  very  sure  of  himself  and  his  drawing  before  using 
this  method. 

Shade  lining,  or  indicating 
shadows  by  making  the  lower 
and  right-hand  edges  of  pro- 
jecting planes  in  elevation 
— i  heavier,  see  Fig.  4,  is  used  in 
architectural  drawing,  espe- 
cially in  illustrations  for  publi- 
cation. In  office  work,  when 
it  is  desired  to  show  the  shad- 
ows, the  latter  are  generally 
laid  in  washes.  The  brilliancy 
of  the  architectural  drawing 
shown  in  many  recent  exam- 
ples, especially  from  New  York 
offices,  is  much  increased  by 
strengthening  the  outline  of 
Fig.  4.  shade  Lines.  projecting  members  and  orna- 
mental parts,  by  accenting  cer- 
tain points,  and  by  carrying  through  only  certain  important  lines 
of  mouldings,  and  drawing  other  lines  only  a  short  distance.  Fin- 
ished lines  coming  down  on  to  projecting  surfaces  may  be  stopped 
short  just  before  reaching  the  surface,  giving  effect  of  high  light  on 
those  surfaces,  as  shown  in  Fig.  4;  and  lines  at  outer  angles  may 
be  carried  slightly  across  each  other,  giving  a  firm  intersection,  in- 
stead of  stopping  just  at 
the  junction.  For  plans 
the  same  holds  good,  as  is 
shown  in  Fig.  5. 

In  an  elevation,  the 
planes  toward  the  front 
may  be  drawn  with  dark 
lines  and  those  farther  back  with  lighter  lines.  Joint  lines  in  masonry 
and  the  lighter  lines  of  carving  should  be  drawn  in  ink  which  has  been 
diluted  with  water.  The  design  for  the  National  Maine  Monument, 
page  9,  shows  a  good  method  of  lining  an  architectural  drawing. 


Fig.  5.    Junctions  of  Lines. 


First  Prize  Design.    National  Maine  Monument. 

B.  Tan  Bnren  Magonigle,  Architect. 


10  ARCHITECTURAL  DRAWING 

Sometimes  lines  of  different  colors,  as  red  to  indicate  brick, 
blue  for  stone,  yellow  for  wood,  etc.,  are  used  on  working  drawings 
to  take  the  place  of  tinting. 

DEFINITIONS. 

Architectural  drawing  is  geometric.  If  the  student  is  making 
the  drawing  of  a  model,  he  should  try  to  think  how  the  author  of  the 
model  laid  it  out,  and  how  he,  the  student,  would  proceed  if  he  had 
the  opportunity  to  lay  it  out.  He  will  find  that  the  model  is  repre- 
sented on  paper  by  the  different  projections  such  as  the  plans,  sections 
and  elevations.  These  are  laid  out  to  a  certain  scale;  that  is  to  say, 
one-fourth  inch  to  the  foot,  which  means  that  one-fourth  inch  in  the 
drawing  represents  one  foot  in  the  model;  or  one-eighth  inch  to  the 
foot,  etc. 

Definition  of  Plan.  A  plan  of  a  building  is  a  section  cut 
by  a  horizontal  plane  through  the  walls,  supports,  etc.,  at  such  a 
height  so  as  to  show  the  greatest  number  of  peculiarities  in  construc- 
tion, walls,  doors,  windows,  supports,  columns  and  pilasters,  fire- 
places, etc.  It  is  possible  to  consider  a  plan  as  a  horizontal  impres- 
sion that  could  be  taken  of  the  building  in  course  of  construction 
when  it  had  arrived  at  a  certain  level  in  the  height  of  a  story.  On 
the  plan  the  construction  is  shown  invariably  by  horizontal  sections, 
but  it  is  possible  to  project  up  all  that  is  below  and  also  to  show  what 
is  above.  In  the  first  case  the  plan  will  show  the  architectural  por-. 
tions  which  project  beyond  the  base  of  the  walls  or  supports  such  as 
the  base,  steps,  approaches,  etc.  In  the  other  case  it  will  show 
vaultings,  ceilings,  entablatures,  cornices,  etc.  Sometimes  it  is  desira- 
ble to  show  both — half  of  each — provided  the  parts  shown  are  suffi- 
ciently interesting  or  necessary  for  explaining  the  entire  scheme. 

Definition  of  Section.  The  section  is  a  plane  cut  through 
a  building  vertically,  that  is  to  say,  it  is  the  same  thing  perpendicularly 
that  the  plan  is  horizontally.  This  plane  should  be  taken  along  the 
line  of  some  main  axis. 

A  single  section  rarely  is  sufficient  to  give  all  the  interior  of  the 
building.  It  is  necessary  to  have,  as  a  rule,  at  least  two,  one  a  longi- 
tudinal section,  perpendicular  as  a  rule  to  the  facade,  and  the  other 
a  transverse  section,  usually  parallel  to  the  facade.  Very  often  a 


240 


AKCHITECTURAL  DRAWING  11 

small  section  of  the  front  alone  is  made.    This  should  preferably  be 
called  a  profile  of  the  front. 

Definition  of  Elevations.  The  elevations  of  a  building  are 
the  projections  of  the  building  on  vertical  planes  parallel  to  the  side 
of  the  building  of  which  an  elevation  is  desired.  Except  in  the  case 
of  complete  uniformity,  it  is  necessary  to  have  several  elevations  in 
order  to  show  the  complete  exterior  of  a  building,  such  as  the  principal 
facade,  side  elevations,  and  rear  elevation. 

THE  IMPORTANCE  OF  AXES  IN  ARCHITECTURAL 
DRAWING. 

The  axis  is  the  key  of  a  design  or  of  any  composition.  An  axis 
in  geometry  is  a  line  which  separates  into  two  equal  parts  any  sym- 
metrical plane  figure,  or  the  pole  of  a  surface  of  revolution  or  of  a 
regular  solid,  such  as  a  rectangular  prism  with  a  regular  base.  In 
architecture  the  idea  of  the  axis  is  greater  than  'this.  It  is  in  reality 
a  vertical  plane  through  the  whole  building  separating  the  building 
into  two  parts  symmetrically,  or  in  such  a  way  that  they  balance  one 
another. 

Although  the  graphical  representation  is  confined  to  a  straight 
line,  do  not  forget  that  it  is  not  simply  a  line.  Take  for  example  a 
church;  in  drawing  the  plan,  the  axis  of  this  plan  will  be  a  straight 
line  separating  it  into  two  parts,  but  this  line  itself  will  be  only  the 
projection  of  the  central  vertical  plane  which  is  the  axis  of  the  whole 
building;  and  the  keystones  of  the  vault,  the  lights  which  drop  from 
them,  the  center  of  the  rose  window,  etc.,  are  in  the  axis  of  the  church. 
Notice  besides  this  that  the  straight  line  which  is  the  axis  of  the 
plan,  and  the  line  which  is  the  axis  of  the  front  and  rear  facade, 
the  line  which  is  the  axis  of  the  transverse  section — these  lines  are 
only  the  traces,  all  belonging  to  some  axis  plane,  as  it  may  be  called, 
and  this  plane  is  the  principal  axis. 

But  there  are  other  minor  axes.  Parallel  to  the  main  axis  are 
the  axes  of  the  side  arms  and  between  these  are  the  axes  of  the  columns. 
Running  transversely  are  the  axes  of  the  transept,  those  of  each  bay, 
the  radiating  axes  of  the  chapels,  etc. 

In  laying  out  the  drawings  of  a  church,  for  example,  first  place 
all  of  these  different  axes  with  the  utmost  accuracy.  This  method 
of  laying  out  the  drawings  of  a  building  by  starting  with  the  axes  may 


241 


12 


ARCHITECTURAL  DRAWING 


be  best  explained  by  examples.  Let  us  commence  by  the  study  of 
a  plan,  that  of  a  vestibule,  in  a  public  building;  e.g.,  the  Hotel  des 
Monnaies  at  Paris,  Fig.  6. 

After  having  drawn  the  axis  1,  which  is  the  principal  axis  of  the 
building,  it  will  be  noticed  that  there  are  five  bays  of  the  central 
pavilion  which  are  spaced  equally.  Of  these  draw  first  the  extreme 
axes,  2  2;  by  dividing  the  space  between  axes  1  and  2  into  equal  parts, 
the  intermediate  axes  3  3,  will  be  found.  In  this  way  the  chances  of 
error  would  be  decreased,  for  if  the  axes  were  placed  in  the  order 
1,  3,  2,  the  possible  error  would  be  doubled.  Now  taking  the  portion 
to  the  right,  draw  first  the  extreme  axis  4,  then  5,  and  divide  the  space 
4  5  into  equal  parts,  which  will  give  the  axis  6. 

Z 


Fig.  6.    Plan  of  Vestibule  of  Hotel  des  Monnaies. 

Now  consider  the  axes  of  the  rows  of  columns  7  7.  These  are 
to  be  arranged  in  relation  to  the  axes  3  3 ;  finally  the  axes  8  8  are 
located  in  relation  to  the  extreme  axes  7  7,  being  checked  in  relation 
to  the  axes  22. 

In  the  longitudinal  direction  the  same  process  will  be  gone 
through,  placing  the  first  axis  1,  then  the  extremes  2  2;  by  division 
3  3  will  be  obtained,  and  dividing  the  spaces  between  the  axes  1,  2, 
and  3,  into  half,  the  axes  5  and  6  of  the  columns  are  obtained.  The 
secondary  axes  will  be  placed  in  the  same  way.  Finally  it  will  be 
found  advisable  to  check  up  the  different  steps  by  verifying  the  dis- 
tances of  the  secondary  symmetrical  axes  from  the  central  main  axis. 


243 


AKCHITECTURAL  DRAWING 


In  carefully  studying  the  plan,  and  the  different  methods  of 
drawing  it,  the  student  will  become  convinced  that  the  methods  of 
spacing  the  axes  are  of  great  importance,  and  that  in  this  way  he  will 
arrive  at  exactness  and  will  avoid  many  mistakes. 

The  student  must  understand  that  it  is  much  more  difficult  to 
draw  a  good  plan  than  is  popularly  supposed ;  more  difficult,  perhaps, 
than  anything  else,  from  the  mere  fact  that  everything  builds  up 
from  the  plan.  In  the  plan  especially,  extreme  exactness  is  necessary 


Fig.  7.    Hotel  des  Monnaies,  Transverse  Section  of  Vestibule. 
Section  on  YY. 


Fig.  8.    Hotel  des  Monnaies,  Longitudinal  Section  of  Vestibule. 
Section  on  ZZ. 

and  the  student  will  do  well,  in  order  to  become  familiar  with  archi- 
tectural drawing,  to  practice  the  drawing  of  plans  constantly. 

Now  let  us  consider  the  sections,  taking  the  same  example  that 
we  have  just  considered.  The  student  will  easily  see  that  the  archi- 
tect cannot  study  his  composition  thoroughly  without  the  aid  of 
numerous  sections.  Two  sections,  however,  are  especially  necessary, 
those  following  the  principal  transverse  and  longitudinal  axes  of 


243 


14  ARCHITECTURAL  DRAWING 

Symmetry.  If  the  student  wishes  to  draw  both  of  them,  he  should 
decide  first  which  one  of  the  two  controls  the  other.  See  Figs.  7 
and  8.  He  will  see  that  in  this  case  it  is  the  transverse  section,  par- 
allel to  the  front  elevation.  The  other,  the  longitudinal  section,  is 
chiefly  the  projection  of  elements  of  the  other  section.  Therefore, 
in  this  case  the  drawing  should  be  commenced  by  laying  out  the 
transverse  section. 

First,  place  the  axes  just  as  has  been  done  in  the  plan,  1,  2  2,  3  3, 
•77,  88.  In  regard  to  the  profiles  or  the  parts  in  section,  the  first 
thing  necessary  is  to  locate  the  heights  of  the  essential  parts,  taking 
for  the  first  level  the  main  floor  A  A,  next  drawing  the  upper  line  of 
the  capitals  of  the  columns  B  B,  then  the  centers  of  the  vaults  C  D. 

Starting  with  these  principal  lines,  draw  in  the  details,  as  for 
example,  the  heights  of  the  bases  in  relation  to  the  floor  A  A.  The 
capitals  and  heights  of  the  architraves  will  be  located  in  relation  to 
the  line  B  B.  It  is  evident  that  if  all  the  measurements  were  taken 
from  the  level  of  the  main  floor  A  A,  the  least  inexactness  would  affect 
the  capitals,  while  if  the  total  height  of  the  column  A  B  is  once  deter- 
mined, no  mistake  can  be  made  in  the  height  of  the  base  and  that  of 
the  capital,  and  even  admitting  a  slight  inexactness,  it  will  be  inap- 
preciable on  the  total  height  of  the  shaft  of  the  column. 

In  all  which  has  preceded,  the  drawing  has  been  laid  out  along 
the  lines  of  the  axes.  But  besides  these  are  some  conventional  methods 
by  which  the  drawing  of  profiles  in  section  or  in  elevation  can  be 
facilitated.  Let  us  take  for  example  a  fragment  of  the  Doric  order — 
one  from  the  Parthenon,  Fig.  9.  To  reproduce  this  drawing  one  should 
measure  the  different  projections  by  referring  them  to  one  single 
vertical  line.  In  this  case  the  axis  of  the  column  would  not  furnish 
a  convenient  axis  for  measurement,  as  with  exception  of  the  column, 
it  determines  nothing.  It  is  best  to  proceed  just  as  in  measuring  an 
existing  order,  that  is,  by  dropping  a  plumb  line  from  the  overhanging 
cornice  and  measuring  the  distance  from  that  plumb  line  to  the 
various  members.  But  this  vertical  line  from  the  outer  member  of 
the  cornice  will  be  only  useful  for  laying  out  the  profile  and  in  locating 
the  axis  of  the  column;  axes  should  be  drawn  in  every  other  possible 
case.  For  instance,  place  the  column  on  the  axis  A;  the  triglyphs, 
on  B ;  the  metopes,  on  C;  the  head  of  the  lion,  on  D,  etc.  To  obtain 
the  heights  draw  the  principal  divisions  in  first;  the  total  height  of 


244 


ARCHITECTURAL  DRAWING 


15 


the  capital,  the  total  height  of  the  architrave,  the  complete  frieze, 
the  complete  cornice;  then  draw  in  each  detail  in  height  within  these 
first  divisions. 

The -channels  of  the  triglyphs,  the  guttae,  etc.,  are  all  drawn  in 
on  their  own  axes.  As  for  the  channels  of  the  column,  these  can  only 
be  drawn  by  projecting  them.  Do  not  copy  them  from  the  drawing, 
but  draw  out  a  plan,  dividing  the  circumference  into  twenty  parts 
or  whatever  number  the  design  calls  for,  and  project  these  divisions 
up  to  the  elevation. 

Study  the  model  care- 
fully before  copying  it;  thus, 
in  this  example  a  close  ex- 
amination will  show  that 
the  architrave  is  slightly 
sloping  while  the  frieze  is 
not.  If  the  student  has  the 
opportunity  to  see  mould- 
ings similar  to  those  which 
he  is  drawing,  he  should 
study  them  carefully.  It 
cannot  be  too  often  re- 
peated that  architectural 
drawing  should  not  confine 
itself  to  exercise  for  the 
hand;  there  should  be  the 
opportunity  for  real  study 
of  whatever  is  drawn. 

Limiting  Lines.  In 
geometry,  we  have  learned 
what  the  abscissa  and  the  ordinate  are;  i.e.,  the  elements  of  reference  by 
which  a  point  is  referred  to  a  system  of  fixed  rectilinear  co-ordinate 
axes.  For  every  part  of  a  design  of  which  the  elements  are  not  geomet- 
rical lines,  such  as  a  right  line  or  circle,  the  method  of  abscissa  and 
ordinate  is  used,  as  in  laying  out  profiles  of  mouldings  or  curved  orna- 
ments such  as  eggs  in  the  egg  and  dart  motive.  Take  for  example  a 
baluster,  Fig.  10;  it  is  evident  that  it  should  be  drawn  in  relation  to  its 
axis.  The  student  will  mark  the  general  divisions,  A  B  the  die,  B  C  the 
base,  C  D  the  shaft,  D  E  the  capital,  after  which  the  secondary  lines 


Capital  and  Entablature  from  the 
Parthenon. 


245 


10 


AECHITECTUKAL  DBAWING 


of  the  mouldings  should  be  drawn  in.     Between  C  and  D,  however, 

the  profile  of  the  shaft  may  vary  very  much  and  the  student  will  not 

be  able  to  copy  it  except  by  laying  off  horizontal  divisions.     For  that 

purpose,  draw  the  limiting  lines  of  its  greatest  width  ra  ra,  mark  its 

point  of  application  M,  and  repeat  this  operation  on  the  drawing.     In 

the  same  manner  lay  off  the  line  n  n,  and  the  point  N,  which  gives 

the  smallest  diameter  of  the  shaft,  and  do 

^  ,          not  mark  these  points  by  a  single  point 

-  with  the  pencil,  but  be  careful  to  draw  the 

||t  I  j!          limiting  (in  this  case  vertical)  lines  at  every 

point,  and  do  not  erase  them  until  after  you 
have  inked  in  the  drawing.  These  lines  will 
be  a  safe  guide  and  will  enable  one  to  make 
an  exact  and  clean  drawing. 

As  another  example  take  the  fragment  of 
the  cornice  with  different  ornaments,  taken 
from  the  Temple  of  Concord,  at  Rome,  Fig. 
11.  The  construction  lines  marked  on  the 
drawing,  and  which  should  be  kept  in 
pencil  .until  the  drawing  is  completed,  show 
especially  well  the  method  previously  ex- 
plained. * 

Finally,  to  produce  an  architectural 
drawing  with  precision  demands  primarily 
a  rational  method  and  methodical  habits. 
The  design  gains  by  its  facility,  but  the 
method  can  only  be  a  general  one  In  its 
application,  an  intelligent  draftsman  will 
recognize  each  time  what  should  be  the 
logical  sequence  in  carrying  out  the  drawing. 
And  still,  all  of  this  will  be  only  the  mechanism  of  the  design;  it  is 
necessary  to  put  into  it  taste  and  sentiment.  For  all  of  this  there  is 
only  one  precept — it  is  by  practice  that  one  becomes  a  good  workman. 
Oblique  Projections.  It  happens  often  that  in  an  elevation 
or  section  architectural  motives  are  represented  obliquely  in  relation 
to  the  principal  plane  of  projection.  Thus  in  a  circular  building  a 
series  of  similar  windows  are  in  elevation  at  different  angles,  conse- 
quently the  widths  differ,  but  the  heights  do  not. 


Fig.  10.    Baluster. 


246 


ARCHITECTURAL  DRAWING 


17 


It  is  necessary  to  become  familiar  with  these  conditions  of  draw- 
ing which  occur  frequently.  It  is  here  above  all  that  geometry  will 
be  very  useful,  for  that  study  includes  the  planes  of  projection  and 
planes  of  development. 

While  there  is  some  little  difficulty,  there  is  also  much  profit  to 
be  gained  in  projecting  an  architectural  motive  at  an  angle.  In  order 
to  project  a  motive  at  an  angle  correctly,  one  must  understand  the 
motive  thoroughly.  An  architectural  arrangement  drawn  out  in 
direct  elevation  only,  will  not  tell  the  whole  story,  but  if  drawn  in 
oblique  projection  a  thorough  understanding  of  the  arrangement 
is  gained. 


Fig.  11.    Entablature  from  the  Temple  of  Concord,  Rome. 

It  is  recommended,  therefore,  as  a  very  useful  exercise  to  draw 
out  in  oblique  projections,  designs  that  are  made  in  direct  elevation; 
it  is  a  good  exercise  in  design,  but  above  all  it  is  an  excellent  prepara- 
tion for  architecture,  compelling  the  designer  to  analyze  his  model 
and  to  see  it  as  a  whole;  to  understand  its  projections  and  to  compre- 
hend the  position  of  the  different  details.  The  designer  realizes  that 
he  is  working  on  the  real  building  rather  than  in  simple  imagination, 
and  so  will  soon  see  of  how  much  advantage  these  exercises  will 
be  to  him. 

Consider,  for  example,  two  windows,  one  in  direct  elevation  and 
the  other  projected  at  an  angle.  It  is  evident  that  the  direct  eleva- 


247 


18  ARCHITECTURAL  DRAWING 

tion  permits  the  study  of  proportions  and  it  is  evident  also  that  the 
oblique  projection  shows  more  than  the  direct  elevation  of  the 
different  parts  of  the  window.  In  the  same  manner  draw  out  the  de- 
velopment of  such  parts  of  buildings  as  vaultings,  circular  walls,  etc. 

All  this  can  be  summed  up  thus:  Study  architectural  drawing 
as  an  architect.  Become  accustomed  to  see  in  the  drawing  the 
object  represented.  It  is  very  necessary  that  the  drawing  should 
be  nothing  more  for  the  designer  than  a  sort  of  language,  and  that 
he  should  see  in  reality  the  thing  itself,  just  as  a  composer  of  music, 
as  he  puts  down  on  paper  the  notes  of  his  score,  can  hear  them  as 
though  they  were  being  played;  just  as  everyone  in  reading  a  book  of 
printed  characters  never  notices  the  printed  letters  but  feels  the  emo- 
tions that  are  meant  to  be  conveyed  as  though  the  words  were  spoken. 

Modeling  an  Architectural  Drawing.  A  design  is  only 
complete  when  in  addition  to  the  outlines,  it  is  modeled,  that  is  to 
say  when  the  form  is  expressed.  The  most  common  process  for 
modeling  an  architectural  design  is  by  wash  drawing,  but  the  methods 
of  modeling  are  the  same  whether  done  by  wash  drawing  or  by  render- 
ing with  the  pen,  the  pencil,  or  other  processes.  It  is  not  possible 
to  say  that  modeling  has  absolute  rules,  or  that  all  methods  are  good 
even  if  the  desired  effect  is  obtained;  i.e.,  if  the  reliefs  and  the  forms 
are  represented  in  their  true  relations  to  one  another.  There  are, 
however,  certain  general  principles  that  can  be  used  as  a  guide  in 
modeling  a  drawing. 

Shadows  at  45  Degrees.  It  is  the  custom  to  assume  that 
the  light  rays  fall  in  a  direction,  the  horizontal  and  vertical  projec- 
tions of  which  make  an  angle  of  45  degrees  with  the  line  of  the  ground. 
The  luminous  ray  itself  does  not  make,  in  reality,  an  angle  of  45 
degrees  with  the  planes  of  projection.  Its  direction  is  that  of  the 
diagonal  of  a  cube  whose  faces  are  respectively  parallel  and  perpen- 
dicular to  the  planes  of  projection. 

This  method  has  two  advantages;  the  laying  out  is  easier,  which 
it  is  well  to  consider,  for  the  drawing  of  shadows  is  often  a  long  and 
complicated  process,  and  in  this  case  the  depth  of  the  shadows  is 
equal  to  the  projections.  Consequently,  the  size  of  the  shadows 
permits  anyone  to  understand,  without  further  drawings,  the  projec- 
tion of  one  architectural  body  in  relation  to  another,  and  the  relative 
positions  in  space  of  the  different  surfaces  in  one  body. 


248 


DETAIL  FROM  TEMPLE  OF  MARS  VENGEUR. 

An  example  of  classic  lettering1,  conventional  shadows  and  rendering". 
Reproduced  by  permission  of  Massachusetts  Institute  of  Technology. 


ARCHITECTURAL  DRAWING  19 

The  drawing  of  shadows  is  often  difficult;  it  is  one  of  the  essential 
parts  of  descriptive  geometry  that  will  also  be  found  in  special  trea- 
tises. As  for  indicating  shadows  which  cannot  be  laid  out  accur- 
ately, such  as  shadows  of  decorative  parts,  it  is  a  matter  of 
judgment  to  determine  the  amount  of  projection—a  knowledge 
gained  by  experience. 

Values.  After  having  drawn  the  shadows,  lay  over  the  shadow 
part  a  uniform  tint.  Now  the  drawing  will  be  seen  to  be  divided 
into  lights  and  shadows. 

As  a  first  principle,  it  is  necessary  always  to  make  a  distinction 
between  light  and  shade;  shadows  will  always  be  modeled,  lights  will 
also  always  be  modeled;  but  it  is  necessary  to  be  able  to  distinguish 
clearly  which  is  light  and  which  is  shade  in  the  same  drawing,  at 
least  where  there  are  large  spaces  between  different  planes.  The 
parts  having  the  darkest  tint  in  the  light  should  remain  lighter  than 
the  lightest  reflected  lights  of  the  parts  in  shadow.  Besides  this, 
geometrical  design,  not  being  able  to  make  use  of  the  illusions  of 
perspective  to  show  distances  and  projections,  has  to  make  use  of 
expressive  modeling,  since  it  is  the  values  of  the  tints  alone  which  will 
indicate  the  relative  distances  and  projections. 

Therefore,  in  order  to  bring  forward  or  to  set  back  one  plane 
with  relation  to  another,  the  only  resource  will  be  to  tint  them  differ- 
ently. Notice  what  happens  in  this  respect  in  nature;  for  instance, 
an  object  placed  near  the  eye  is  modeled  very  clearly  and  one  at  some 
distance  is  modeled  much  less,  and  one  at  a  great  distance  or  on  the 
horizon,  is  only  a  mass  without  details.  So,  the  nearer  the  object  is, 
the  more  it  is  modeled  and  the  greater  are  the  differences  between 
the  shadows  and  the  lights;  on  the  contrary,  the  further  away  it  is 
the  more  the  lights  and  shadows  tend  to  mingle.  In  the  foreground 
there  will  be  strong  shadows  and  high  lights,  in  the  distance  dull 
shadows  and  softened  lights;  between  these  an  intermediate  propor- 
tion of  shadows  and  lights.  Therefore,  in  facade,  the  planes  far- 
thest away  from  the  eye  will  have  the  least  modeling,  while  the 
nearer  the  plane  is  to  the  eye,  the  more  is  the  modeling  accented. 

As  stated  above,  in  nature  every  light  and  every  shade  is  modeled 
and  graded;  the  shadows  are  more  noticeably  graded  than  the  lights. 
The  reason  for  this  gradation  of  shadows  is  the  indirect  lighting 


251 


20  ARCHITECTURAL  DRAWING 

thrown  back  on  the  shaded  objects  by  neighboring  lighted  objects, 
and  this  is  called  reflected  light. 

Take  for  example  a  cylindrical  body  like  the  shaft  of  a  column. 
It  is  easy  to  distinguish  on  this  cylinder  cast  shadows  and  shades. 
The  cast  shadows  are  those  which  result  from  the  interception  by 
another  solid,  of  luminous  rays  which  without  it  would  have  lighted 
the  cylinder.  Shades  result  from  the  absence  of  light  on  the  part  of 
the  cylinder  which  by  its  position  cannot  receive  light  rays.  Naturally 
shadows  are  less  affected  by  reflected  light  than  shades.  The  reflec- 
tion of  light  or  the  throwing  back  of  light  which  creates  the  reflected 
light  comes  from  lighted  bodies,  which  in  theory  may  be  considered 
as  secondary  sources  of  rays  of  light  of  which  the  resultant  will  be 
in  the  direction  opposite  to  the  light.  That  is,  since  the  lighting  is  in  a 
direction  of  45  degrees  from  above  down,  and  conventionally  from 
left  to  right,  the  direction  of  the  reflected  light  is  in  the  direction 
of  a  diagonal  from  the  lower  right  front  corner  to  the  upper  rear 
left  corner. 

This  conventional  theory  is  to  be  followed  as  the  rule  for  model- 
ing. Commence  with  the  lights,  or  where  the  gradations  are  more 
easily  comprehended.  Take  a  solid  of  white  stone,  for  example,  a 
sphere.  It  is  easy  to  comprehend  that  the  strongest  lighting  will  be 
at  the  point  of  intersection  of  the  surface  of  the  sphere  with  the 
luminous  ray  which  prolonged  will  pass  through  the  center.  Then, 
around  this  pole  of  light,  the  angle  of  the  luminous  ray  with  the 
surface  will  be  diminishing  constantly  following  parallel  zones,  having 
the  luminous  point  for  the  pole,  until  it  becomes  tangent  to  the  sphere 
following  a  great  circle  whose  luminous  point  is  also  the  pole  and 
which  will  be  the  line  separating  the  shade  from  the  light.  In  other 
words,  the  light  will  diminish  from  the  pole  to  this  equator. 

In  the  shadow  it  will  be  just  the  opposite;  the  greatest  reflection 
will  be  at  the  other  extreme  of  the  ray  prolonged  to  pass  through  the 
luminous  point  and  the  center  of  the  sphere,  the  shadow  will  increase 
in  intensity  from  the  pole  of  reflected  light  to  the  separating  circle 
of  shade  and  light. 

But  if  any  body  casts  a  shadow  on  the  lighted  part  of  the  sphere, 
its  shadow  will  be  much  less  affected  by  reflected  light  and  conse- 
quently will  be  more  intense  than  the  shade  itself. 

From  this  follow  two  rules  for  modeling:     (1)  A  shadow  cannot 


252 


ARCHITECTURAL  DRAWING 


21 


be  cast  on  a  body  unless  this  body  is  in  the  light  and  some  other  body 
is  casting  the  shadow;  (2)  The  value  of  the  intensity,  i.e.,  the  degree 
of  darkness,  of  the  cast  shadow  at  any  point  is  in  direct  ratio  to  the 
strength  of  light  on  that  point. 

The  application  of  these  rules  can  be  illustrated  on  a  geometric 
body,  for  example,  the  capital  of  a  Doric  column  and  its  architrave, 


castshadou,^;1.  V     ;:g^^v-"'"r     L 

v*feMS$!^^ 


Fig.  12.    Shadows  on  Capital  of  Doric  Column. 

Fig.  12.  The  shadows  should  be  drawn  out  and  a  light  shadow  tint 
laid  over  them.  Now  let  us  consider  where  the  most  intense  shadows 
will  be.  Evidently  at  A,  where  the  shadow  is  determined  by  a  ray 
normal  to  the  cylindrical  surface  of  a  column,  and  the  parts  A'  A', 
of  the  cast  shadows  which  meet  the  surface  of  revolution  following 
its  meridian  of  light.  The  clearest  reflected  shadows  cannot  be 
seen  in  the  drawing  as  they  will  be  found  at  the  back  of  the  projection 
on  the  meridian  opposite  the  point  A.  But  among  the  parts  seen 
on  the  drawing  the  most  reflected  light  will  be  at  the  point  B  B,  doubly 
lighted  by  its  position  on  plan  and  by  the  form  of  the  moulding. 


253 


22  ARCHITECTURAL  DRAWING 

Between  these  extremes  the  parts  C  C  will  have  intermediate  values, 
whether  shades  themselves  or  cast  shadows.  Also,  observe  that  the 
values  of  the  light  at  contour  C'  are  symmetrical  with  the  values  of 
the  light  of  contour  C.  There  will  be,  therefore,  a  symmetry  of 
modeling,  in  relation  to  an  axis  of  the  most  intense  lighting  on  the 
column  of  the  luminous  part  and  of  the  intensity  of  the  shadows; 
this  axis  will  be  on  meridian  A.  As  for  the  mouldings  which  are 
straight  in  plan  like  D  D,  their  general  value  will  be  analogous  to 
the  intermediate  value  C  C. 

Passing  to  the  lights,  we  see  that  the  point  most  lighted  will  be 
the  point  a,  and  finally  the  generatrix  of  a' ;  and  the  light  will  become 
more  and  more  gray  up  to  the  tangent  M  M.  But  along  the  astragal 
the  light  will  extend  in  almost  uniform  intensity,  for  it  will  strike 
more  normally  than  on  the  cylinder.  As  for  the  straight  parts,  the 
abacus,  the  architrave  and  fillets,  they  will  receive  less  light  than  the 
cylinder  at  a'  a',  and  approximately  the  same  as  at  C  C;  the  sloping 
part  of  the  abacus  will  naturally  have  a  more  intense  light.  Other- 
wise each  one  of  the  plain  surfaces,  in  shadow  or  light,  will  be  graded 
from  the  upper  part  down,  because  the  nearer  the  surface  is  to  the 
ground,  the  more  reflected  light  it  receives.  For  each  detail  use  the 
same  reasoning.  Thus,  for  the  cavetto,  there  is  a  cast  shadow  in 
the  lower  part,  but  the  portion  above  the  tangent  is  in  shade.  The 
shadow  is  modelled  by  continuous  grading  from  darkest  at  the  lower 
part  to  the  lightest  in  the  upper  part;  the  talon  will  have  cast  shadows 
at  O  and  P,  the  portions  at  N  being  in  shade,  hence  O  and  P  are  the 
darkest  parts  while  N  is  the  lightest. 

Another  element  comes  into  the  modeling;  i.e.,  the  openings. 
An  opening  is  always  darker  than  the  simple  shadows,  for  there  is 
almost  no  reflection  that  comes  in  the  opening  to  lighten  the  shadow. 
Such  are  the  door  and  window  openings  of  a  facade.  The  parts  in 
shadow,  which  are  less  accessible  to  the  reflections,  will  be  darker 
than  the  other  parts.  For  instance,  the  openings  between  the  dentils, 
the  spaces  between  the  consoles,  etc.,  will  be  darker  than  the  face 
of  the  dentils  or  consoles  and  may  be  as  dark  as  the  general  shade 
of  the  openings.  The  modeling  should  be  such  that  the  parts  which 
are  by  themselves  in  reality,  will  appear  so  on  the  drawing.  It  is 
not  necessary  to  exaggerate ;  the  modeling  should  remain  simple. 

Lacking  good  models,  it  is  always  easy  to  get  good  photographs 


254 


CORINTHIAN  CAPITAL  AND  BASE. 
Showing  conventional  shadows  and  rendering. 

Qrig-inal  drawing  by  Emanuel  Brune. 
Reproduced  by  permission  of  Massachusetts  Institute  of  Technology. 


ARCHITECTURAL  DRAWING 


of  good  wash  drawings;  for  example,  a  large  number  of  "Envois  de 
Rome ",  or  drawings  made  by  students  in  Rome,  have  been  photo- 
graphed and  published.  These  are  models  which  cannot  mislead  one. 

RENDERING    IN  WASH. 

All  studies  and  completed  exhibition  drawings  in  the  archi- 
tectural schools  are  tinted  in  India  ink  or  water-color.  This  is 
done  to  show  the  shadows,  and  to  indicate  the  relative  position  of 
the  different  planes,  and  is  the  method  of  representation  in  com- 
mon use  in  architects'  offices,  especially  in  the  presentation  of  com- 
petition drawings. 

MATERIALS. 

Chinese,  Japanese  or  India  inks  are  used  for  rendering,  on 
account  of  their  clear  quality  and  rich  neutral  tone.  The  ink 
comes  in  sticks,  Fig.  13,  and  it  is  ground  in  a  slate  slab  provided 
with  a  piece  of  glass  for  a  cover.  See  Fig.  14. 


Fig.  13.    India  Ink. 

There  are  various  kinds  of  brushes.  Camel's  hair  brushes  are 
the  cheapest  and  are  useful  for  rough  work.  Sable  brushes,  Fig. 
15,  are  two  to  three  times  as  expensive  as  the  camel's  hair  ones  on 


Fig.  14.     Ink  Slab. 


account  of  the  material,  but  are  also  very  much  better.  The  sable 
brushes  have  a  spring  to  them  not  to  be  found  in  the  camel's 
hair  brush,  and  they  come  to  a  finer,  firmer  point.  Chinese  and 


257 


21 


ARCHITECTURAL  DRAWING 


Japanese  brushes  are  used  a  good  deal  of  late,  as  they  are  cheaper 
than  the  sable  brushes  and  have  some  spring  to  them.  A  stip- 
pling brush  is  one  with  a  square  end,  used  mostly  in  china  paint- 
ing. A  bristle  brush  is  a  stiff  brush  used  in  oil  painting  ;  on 
account  of  its  stiffness  it  is  used  for  taking  out  hard  edges,  as 
described  later  on.  Fig.  16  shows  a  nest  of  porcelain  cabinet 
saucers. 


Fig.  15.    Sable  Brush. 

Besides  these  materials  the  student  should  provide  himself 
with  a  large  and  a  small  soft  sponge,  and  large  blotters,  which  will 
sop  up  water  readily.  Whatman's  "  cold  pressed  "  paper  is  the 
best  paper  to  use  for  rendering  in  India  ink. 

flETHOD  OF  PROCEDURE. 

Stretching  Paper.  All  drawings  on  which  washes  are  to  be 
laid  should  be  stretched,  as  described  in  the  Mechanical  Drawing, 
Part  1. 


.Fig.  16.    Nest  of  Saucers. 

Inking  the  Drawing.  The  lines  should  be  drawn  with 
ground  India  ink,  the  ink  being  as  black  as  possible  without  being 
too  thick  to  flow.  Ornament  should  be  inked  in  with  lighter  lines 
than  the  vertical  and  horizontal  lines.  This  accents  the  struc- 
tural lines.  Very  often  the  outline  of  the  ornament  is  drawn 
in  a  heavier  line  than  the  remainder.  The  width  of  the  line 


858 


¥ 


RENDERING   OF    ROMAN   IONIC   CAPITAI,. 

Showing  conventional  shadows  and  reflected  lights  and  shadows. 
Reproduced  by  permission  of  Columbia  University. 


ARCHITECTURAL  DRAWING  25 

should  vary  with  the  scale  of  the  drawing,  the  larger  and  bolder 
the  drawing  the  wider  the  line. 

India  ink  evaporates  very  rapidly.  It  should  be  kept  covered 
and  changed  several  times  a  day,  especially  in  summer.  After 
the  drawing  is  inked  it  should  be  washed  to  remove  the  surplus 
ink,  otherwise  when  the  tint  is  applied  the  ink  will  spread.  This 
is  best  done  by  placing  it  under  a  faucet  and  rubbing  it  very 
lightly  with  a  soft  sponge.  If  the  inking  has  been  properly  done 
the  lines  will  now  have  the  appearance  of  a  firm  pencil  line  of  a 
soft  neutral  color  forming  a  harmonious  background  for  the  tint. 
The  shadows  should  then  be  cast  and  drawn  in  with  a  hard  pencil 
\\\  faint  lines. 

Preparing  the  Tint.  For  large  washes  India  ink  should  be 
freshly  ground  in  a  clean  saucer  each  time  it  is  required.  In  no 
case  use  the  prepared  India  ink  which  comes  in  bottles,  as  this  is 
full  of  sediment  which  settles  out  in  streaks  on  the  drawing. 
Always  use  the  stick  ink. 

Rub  the  ink  in  the  saucer  until  it  is  very  black;  then  let  it 
stand,  keeping  the  saucer  covered.  This  allows  the  sediment, 
which  is  so  fatal  to  a  clear  wash,  to  settle.  After  it  has  set- 
tled take  the  ink  from  the  top  with  a  brush  without  disturbing 
the  bottom.  Put  this  ink  into  another  saucer  and  dilute  it 
with  the  necessary  amount  of  water.  Never  use  the  ink  in  the 
saucer  in  which  it  was  originally  ground.  In  dipping  the  brush 
into  the  second  saucer  it  is  well  to  take  this  ink  also  from  the 
surface  and  thus  avoid  stirring  any  sediment  which  may  still 
remain  in  the  ink.  In  other  words,  the  sediment  which  is  found 
in  even  the  most  carefully  ground  ink  should  never  be  used  for 
washes,  otherwise  streaks  and  spots  may  show  in  the  washes. 

Where  only  a  small  surface  is  to  be  rendered  the  tint  can  be 
mixed  on  a  piece  of  paper  in  the  same  manner  in  which  it  is  mixed 
in  the  saucer.  Thus  various  shades  can  be  obtained  more  quickly 
and  experiments  made  more  easily.  Skill  in  laying  washes  is 
only  acquired  by  practice.  However,  some  instruction  is  neces- 
sary. If,  after  all  possible  care  has  been  taken  during  the  draw- 
ing, such  as  placing  paper  under  the  hand  to  keep  the  paper  from 
getting  greasy  and  keeping  the  drawing  covered  to  protect  it  from 
the  dust,  the  paper  has  nevertheless  become  soiled,  it  should  be 


261 


26  ARCHITECTUKAL  DRAWING 

cleaned  by  giving  it  a  light  sponging  with  a  very  soft  sponge  and 
perfectly  clean  water.  Touch  the  surface  lightly,  sop  on  the  water 
liberally,  and  dry  it  off  immediately  with  a  sponge  or  blotter  with- 
out rubbing.  Before  washing,  the  paper  should  be  cleaned  by 
rubbing  it  very  lightly  with  a  soft  rubber.  Especial  care  must  be 
taken  not  to  injure  the  surface  of  the  paper  by  rubbing  too  hard. 

It  may  seem  that  all  this  care  is  unnecessary,  but  it  is  only 
by  observing  this  extreme  care  that  the  skilled  draftsman  obtains 
the  transparent  wash  and  the  beautiful,  even,  clear  tints  free  from 
all  streaks,  which  give  so  much  charm  to  an  India  ink  rendering. 

Handling  the  Brush.  Skill  in  handling  the  brush  is  acquired 
only  by  constant  practice.  The  brush  demands  great  lightness  of 
hand.  The  right  arm  should  never  support  the  body.  The  arm 
should  not  rest  on  the  drawing;  only  the  little  finger  of  the  right 
hand  should  come  in  contact  with  the  paper.  The  brush  should 
be  held  somewhat  like  a  pencil  between  the  thumb  and  index 
finger,  and  the  little  finger  should  be  very  free  in  its  movements. 
Touch  the  paper  only  with  the  point  of  the  brush. 

The  brush  should  be  well  filled  with  the  tint  and  care  should 
be  taken  that  there  is  practically  the  same  amount  of  tint  in  the 
brush  at  all  times.  If  this  is  not  done,  for  example,  if  the 
brush  is  allowed  to  get  too  dry,  one  part  of  the  wash  will  dry 
faster  than  the  other  and  streaks  will  result. 

If  the  brush  should  be  too  wet,  the  surplus  moisture  can  be 
removed  by  touching  it  to  blotting  paper. 

If  the  paper  is  too  wet  the  surplus  -tint  can  be  removed  by 
drying  the  brush  on  blotting  paper  and  applying  it  to  the  surplus 
tint  which  will  then  be  rapidly  absorbed  by  the  brush.  Great  care 
must  be  taken  not  to  remove  too  much  of  the  tint;  otherwise  it 
will  dry  too  fast  and  leave  a  streak. 

Laying  Washes.  There  are  two  kinds  of  washes;  the  clear 
washes  used  in  rendering  shadows,  window  openings,  etc.,  and  the 
washes  in  which  the  color  is  allowed  to  settle,  the  latter  being  used 
to  render  the  grounds  surrounding  a  building.  When  laying 
clear  washes  it  is  better  to  tip  the  board  slightly  so  that  the  washes 
may  flow  slowly  in  the  direction  in  which  they  are  being  carried. 
If  the  board  is  placed  flat  there  is  danger  of  the  wash  running 
back  over  the  part  that  is  already  dry  and  thus  forming  a  streak. 


DORIC  DOORWAY  FROM  ROMAN  TEMPLE  AT  CORI,  ITALY. 
An  example  of  classic  lettering,  conventional  shadows  and  rendering. 

Reproduced  by  permission  of  Massachusetts  Institute  of  Technology . 


ARCHITECTURAL  DRAWING  27 


The  edge  of  the  wash  should  always  be  kept  wet,  for  if  it  begins  to 
dry  a  streak  will  surely  follow.  The  tint  should  be  carried  down 
evenly  across  the  board,  moving  the  brush  rapidly  from  side  to 
side  so  that  one  side  does  not  advance  faster  than  the  other.  Carry 
the  tint  down  about  an  inch  at  a  time,  the  amount  depending  upon 
the  size  of  the  brush  and  of  the  surface  rendered.  Always  go 
over  the  previous  half  inch  at  every  new  advance,  taking  care  not 
to  touch  any  part  that  has  already  dried.  In  this  way  the  tint  will 
dry  gradually,  parallel  to  the  work.  Carry  the  sides  of  the  tint 
forward  a  little  more  slowly  than  the  center.  This  will  make  the 
tint  run  towards  the  center  and  help  to  avoid  the  lines  or  streaks 
due  to  uneven  drying. 

The  tint  should  be  carried  forward  in  such  a  way  that  the 
paper  will  be  thoroughly  and  evenly  wet.  In  fact,  it  is  a  very 
good  plan  to  dampen  the  entire  drawing  with  a  soft  sponge  before 
beginning  to  lay  a  wash.  This  dampening  should  be  carried  well 
beyond  the  edges  of  the  drawing  so  as  to  prevent  the  color  from 
spreading  to  the  drier  and  more  absorbent  parts  of  the  paper. 
Always  remove  the  pool  of  tint  which  remains  at  the  bottom  of  a 
wash  in  the  manner  described  under  "  Handling  the  Brush."  If 
allowed  to  remain  it  will  dry  more  slowly  than  the  rest  of  the 
drawing  and  a  streak  will  show. 

The  drawing  board  should  be  left  inclined  until  the  wash  is 
dry.  Never  lay  one  wash  over  another  before  the  previous  one  is 
absolutely  dry. 

In  laying  washes  which  grade  gradually,  either  from  dark  to 
light  or  light  to  dark,  grade  the  tint  by  the  addition  of  water  or 
color  each  time  that  an  advance  is  made,  and  be  careful  that  these 
additions  are  such  that  the  change  in  color  is  made  evenly. 

It  is  very  difficult  to  lay  an  evenly  graded  dark  tint  with  one 
wash  only.  It  is  usually  better  to  lay  a  light  flat  wash  or  a  light 
graded  wash  to  serve  for  a  background  on  which  to  lay  the  dark 
graded  wash.  By  a  flat  wash  is  meant  a  wash  which  is  the  same 
tone  or  color  throughout;  that  is,  a  wash  that  is  not  graded.  See 
opening  in  Doric  Doorway,  Roman  Temple,  Cori,  opposite  page. 

Water  has  to  be  added  constantly  in  grading.  Where  there 
is  a  series  of  graded  washes,  as  in  successive  window  openings,  it 
is  better  to  have  two  or  three  saucers  containing  tints  of  different 


265 


28  ARCHITECTURAL  DRAWING 

strength  and  carry  each  tint  for  the  same  distance  in  each  window  so 
that  the  gradation  of  color  may  be  the  same.  In  grading  in'this  way 
it  is  necessary  to  carry  each  new  wash  well  back  over  the  old  one  so 
the  point  where  one  tint  ends  and  another  begins  may  not  show. 

Sometimes  gradations  are  obtained  by  laying  successive  flat 
washes,  each  wash  beginning  a  little  lower  than  the  previous  one. 
In  this  way  the  rendered  surface  will  begin  with  one  flat  tint  and 
end  with  a  number  of  tints,  one  on  top  of  the  other.  This  is  called 
the  French  method  and  is  done  by  drawing  very  faint  parallel 
lines  at  close  intervals  to  mark  the  limit  of  each  wash.  A  very 
light  wash  is  then  put  over  the  whole  surface,  and  this  is  followed 
with  successive  washes,  each  starting  from  the  next  lower  line. 
This  method  is  especially  good  for  rendering  narrow,  long,  hori- 
zontal graded  washes.  See  rendering  of  mouldings  in  classical  cor- 
nice opposite.  Note  particularly  the  application  of  this  method  on 
the  crown  moulding,  and  practically  all  the  curved  mouldings. 

Avoid  laying  too  many  washes  in  the  same  place,  as  the  con- 
tinuous wetting  and  rubbing  which  the  paper  gets  from  the  brush 
is  liable  to  injure  the  surface. 

If  the  tints  are  too  dark,  a  soft  sponge  can  be  used  to  lighten 
them  or  to  take  out  hard  or  dark  border  lines  ;  but  a  large  brush 
about  two  inches  wide  is  still  better  for  this  purpose.  If  it  is 
necessary  to  use  a  sponge,  use  it  with  a  great  deal  of  water,  rub 
very  lightly  and  very  patiently.  The  water  should  be  kept  very 
clean,  and  the  surrounding  parts  should  be  thoroughly  wet  before 
wetting  the  tinted  part,  otherwise  the  tint  may  spread  over  the 
other  parts  of  the  drawing.  After  using  the  sponge,  dry  the  paper 
carefully  with  a  clean  blotter.  Another  and  better  way  is  to  place 
the  whole  drawing  under  the  faucet,  turn  on  the  water  and  use  the 
sponge  or  brush,  as  already  described,  on  the  parts  to  be  lightened. 

To  make  light  places  darker,  use  the  point  of  a  brush,  apply- 
ing the  tint  in  small  dots.  Be  careful  not  to  begin  with  too  dark 
a  tint.  This  process  is  called  stippling,  and  it  must  be  done  very 
gradually  and  very  carefully. 

Do  not  forget  that  the  first  quality  of  a  wash  is  crispness.  It 
is  necessary  to  draw  with  the  same  precision  with  a  brush  as  with 
a  pencil.  When  the  drawing  is  finished  it  should  be  allowed  to 
dry  thoroughly  before  it  is  cut  from  the  drawing  board. 


Showing  Lights  and  Shadows  on  Classical  Cornice, 
and  French  Method  of  Rendering. 


ARCHITECTURAL  DRAWING  29 

Rendering  Elevations.  The  object  of  rendering  a  drawing 
is  to  explain  the  building.  Those  parts  of  the  building  nearest  to 
the  spectator  should  show  the  greatest  contrast  in  light  and  dark, 
for  in  nature,  as  an  object  recedes  from  the  eye,  the  contrast  be- 
comes feebler  and  feebler  and  finally  vanishes  in  a  monotone. 
Every  elevation  shows  the  horizontal  and  vertical  dimensions  of  a 
building,  or  details  of  a  building,  but  in  a  line  drawing  the  pro- 
jections of  the  different  parts  when  in  direct  front  elevation  are  not 
shown  ;  and  it  is  to  indicate  these  projections  that  the  shadows  are 
cast  and  the  drawing  is  rendered.  The  appearance  of  a  building 
or  any  details  of  a  building  will  be  clearly  shown  by  the  shadows 
in  their  different  values  of  light  and  dark.  (See  plates,  pages  18 
and  23.)  The  windows  and  other  openings  of  a  building  should 
be  colored  dark,  but  not  black — although  this  is  sometimes  re- 
quired in  competition  drawings — and  varying  lighter  tints  should 
be  used  to  indicate  the  color  of  the  material  in  the  roof  and  walls, 
the  difference  in  the  color  intensity  indicating  the  varying  dis- 
tances from  the  spectator.  Note  in  plate  on  page  5,  the  com- 
parative values  of  rendering  in  roof  and  shadows  on  roof  ;  also 
portions  of  order  in  light,  portions  in  shadow,  and  background  of 
column.  This  method  of  drawing  is  frequently  carried  to  an  elab- 
orate extent  by  showing  high  lights,  reflected  shadows,  etc.,  and  an 
elevation  can  thus  be  made  to  show  almost  as  much  of  the  character 
of  the  proposed  building  as  would  be  shown  by  a  perspective  view 
or  by  a  photograph  of  the  completed  structure.  See  frontispiece, 
"  Fragments  from  Roman  Temple  at  Cori."  Study  the  different 
tone  values  of  the  various  objects  in  the  foreground  and  in  the 
background,  and  note  the  perspective  effect  of  the  background. 

It  is  a  good  plan,  before  starting  to  render  a  drawing,  to  make 
a  small  pencil  sketch  to  determine  the  tone  values  which  the  vari- 
ous surfaces  should  have,  so  that  they  will  assume  their  proper 
relative  positions  in  the  picture. 

Drawings  of  this  kind  are  much  superior  to  any  others  as  a 
means  of  studying  the  probable  effect  of  the  building  to  be  con- 
structed, as  they  show  the  character  of  the  building  and,  at  the 
same  time,  dimensions  can  be  figured  directly  on  the  drawing.  It 
is  difficult  and  unusual  to  give  measurements  on  a  perspective 
drawing. 


269 


30  ARCHITECTURAL  DRAWING 

Rendering  Sections  and  Plans.  Sections  are  frequently  ren- 
dered in  the  same  manner  as  elevations  to  show  the  interior  of 
buildings.  The  shadows  are  cast  in  such  a  way  that  they  show  the 
dimensions  and  shapes  of  the  rooms.  The  parts  actually  in  section 
are  outlined  with  a  somewhat  heavier  line  and  tinted  with  a  licrlit 

O 

tint.  The  surfaces  are  modeled  just  as  they  are  in  the  elevations. 
See  opposite  page. 

Plans  are  rendered  to  show  the  character  of  the  different 
rooms  by  tinting  the  mosaic,  furniture,  surrounding  grounds,  trees, 
walks,  etc.  The  shadows  of  walls,  statuary,  columns  and  furniture 
are  often  cast,  so. that  the  completed  rendered  plan  is  an  architec- 
tural composition  which  tells  more  than  any  other  drawing  the 
character  of  the  finished  building. 

The  interior  of  the  building  and  all  covered  porticoes  are  left 
much  lighter  than  the  surrounding  grounds  because  the  building 
is  the  most  important  portion  of  a  drawing  and  should,  therefore, 
receive  the  first  attention  of  the  spectator.  The  sharp  contrast  of 
the  black  and  white  of  the  plan  to  the  surroundings  brings  about 
the  desired  effect.  The  mosaic,  furniture,  etc.,  should  be  put  in  in 
very  light  tints  in  order  to  avoid  giving  the  plan  a  spotty  look. 
The  walls  in  the  plan  should  be  tinted  dark  or  blacked  in  so  that 
they  will  stand  out  clearly.  See  Fig.  17. 

Graded  Tints.  One  rule  in  laying  all  tints  should  be  strictly 
followed  :  Grade  every  wash.  A  careful  study  of  the  actual 
shadows  on  buildings  will  show  that  each  shadow  varies  slightly  in 
degree  of  darkness  ;  that  is,  shows  a  gradation.  The  lower  parts 
of  window  openings  are,  as  a  rule,  lighter  than  the  upper  parts. 
Therefore,  the  washes  or  tints  should  grade  from  dark  at  the  top 
of  the  door  or  window  openings  to  light  at  the  bottom.  Further- 
more, it  will  be  found  that  the  reflection  from  the  ground  lights  up 
shadows  cast  on  the  building,  so  that  shadows  which  are  dark  at  the 
top  become  almost  as  light  as  the  rest  of  the  building  at  its  base. 

Windows  and  doors  are  voids  in  the  facade  of  a  building,  and 
they  have  a  greater  value  in  the  composition  of  a  design  than 
shadows  or  ornaments  in  general.  This  character  should  be  care- 
fully shown  in  the  rendering  ;  and  to  that  end  the  grading  should 
never  show  such  violent  contrasts  as  to  distract  the  eye  from  the 
design  as  a  whole,  and  thus  destroy  the  unity  of  the  design  and 


270 


ARCHITECTURAL  DRAWING 


31 


the  true  mass  of  the  openings.  Many  good  designs  are  greatly 
injured  in  the  rendering  by  the  violent  contrast  in  the  grading  of 
the  openings  from  dark  to  light. 

In  the  shadow  itself  it  will  be  found  that  detail  is  accented  or 


Fig.  17.    Conventional  Method  of  Rendering  Plan. 


273 


32  ARCHITECTURAL  DRAWING 

brought  out  by  reflected  shadows.  These  shadows  are  in  a  direc- 
tion opposite  to  the  shadows  cast  by  the  sun.  If  the  light  is 
assumed  to  come  in  the  conventional  way,  namely  at  an  angle  of 
forty-five  degrees  from  the  upper  front  left  corner  to  the  lower 
back  right  corner,  the  reflected  light  may  be  assumed  to  be  at  an 
angle  of  forty-five  degrees  from  the  lower  right  front  corner  to  the 
upper  left  rear  corner,  and  the  reflected  shadows  will  accordingly  be 
cast  in  this  direction.  See  detail  of  Greek  Doric  Order,  page  5. 

If  these  are  worked  up  in  their  correct  relation  to  one  another 
the  character  of  the  details  will  be  well  expressed. 

Distinction  Between  Different  Planes.  The  different  planes 
of  a  building  \vhich  project  one  in  front  of  the  other  are  distin- 
guished from  each  other  in  the  following  manner: 

The  parts  toward  the  front  have  a  warm  color,  the  portions 
receiving  direct  light  have  a  tone  over  them  indicating  the  mate- 
rial, the  shadows  are  strong  and  bold,  and  the  reflected  shadows 
are  more  or  less  pronounced.  The  parts  toward  the  rear,  on  the 
other  hand,  have  no  such  strong  contrasts  of  light  and  dark.  The 
light  parts  are  often  left  very  light  and  the  shadows  put  in  even 
tones.  The  further  the"  object  is  from  the  spectator  the  less  pro- 
nounced will  be  the  reflected  lights  and  shadows.  Note  the  grad- 
ing on  the  steps  in  plate,  page  18,  and  study  the  frontispiece  as 
an  illustration  of  this  point. 

In  rendering,  a  difference  should  be  made  for  different  mate- 
rials. Note  the  difference  between  the  stone  and  the  metal  work 
on  opposite  page. 

A  FEW  WATER  COLOR  HINTS  FOR  DRAFTSMEN. 

Many  draftsmen  who  are  strong  in  drawing,  are  very  weak  in 
color  work.  The  reason  for  this  is,  in  most  cases,  that  the  colors 
are  not  fresh,  that  the  brush  is  too  dry,  and  that  the  color  values  are 
not  correct,  fresh  crisp  color  is  most  important.  To  get  this 
it  is  necessary  to  start  with  a  clean  color  box,  clean  brushes,  and 
clean  paints.  The  colors  should  be  moist  and  not  dry  and  hard. 

Tube  and  Pan  Colors.  After  having  acquired  some  facility 
in  the  use  of  colors,  tube  colors  are  the  best  to  use,  although 
they  are  somewhat  more  wasteful  than  pan  colors.  They  are  less 
likely  to  harden  and  dry  up  and  are  not  more  expensive.  The 


274 


Showing  Difference  in  Rendering  Stone  and  Metal. 


ARCHITECTURAL  DRAWING 


colors  in  the  tubes  can  be  squeezed  out  on  the  palette  as  needed, 
and  if  this  is  done  fresh  bright  effects  are  obtained.     For  the  be- 


Fig.  18.    Box  for  Pan  Colors. 

ginner,  however,  pan  colors  are  recommeded,  as  they  are  more 
easy  to  handle.  Fig.  18  shows  a  japanned  tin  box  for  pan  colors, 
Fig.  19  shows  a  pan  color,  and  Fig.  20  a  tube  color. 

LIST  OF  COLORS:    The    following  list  of   colors  will  make  a 
very  good  palette: 

Cadmium  Orange  Vermilion  Cobalt  Blue          Emerald  Green 

Indian  Yellow  Carmine  New  Blue  Hooker^s  Green 

Lemon  Yellow  Light  Red  Prussian  Blue 

Gallstone  Burnt  Sienna  Paine' s  Gray         Chinese  White 

Yellow  Ochre  Warm  Sepia 

The  colors  printed  in  italics  are  clear  colors  which  will  give 
clear  even  washes.     The  others  will  settle  out,  the  color  settling 


Fig.  19.    Pan  Color. 


Fig.  20.    Tube  Color. 


into  the  pores  of  the  paper  producing  many  small  spots.  This 
effect  is  often  desirable,  giving  a  texture  which  cannot  be  obtained 
with  the  clear  colors 


277 


34  ARCHITECTURAL  DRAWING 

For  use  in  the  offices,  India  ink,  Chinese  white,  gallstone, 
carmine  and  indigo  will  be  found  very  convenient.  The  latter 
three  are  convenient  forms  of  the  three  primary  colors  to  use  with 
India  ink  in  rendering.  Many  draftsmen  use  these  alone. 

flanipulation.  The  washed-out  look  of  many  of  the  color 
sketches  seen  in  architectural  exhibitions  is  very  noticeable.  The 
sketches  lack  strength  and  crispness. 

Color  properly  applied  should  be  put  on  boldly  in  broad 
simple  washes  without  fear  of  too  much  color.  Remember  that 
colors  when  dry  are  much  lighter  than  \dien  in  a  moist  state.  Use 
plenty  of  clear  water  in  the  brush.  Do  not  go  over  one  wash  with 
another  before  the  first  is  entirely  dry.  This  is  particularly  true 
where  a  deeper  tone  is  to  be  put  over  a  lighter  one.  In  broad  sky 
washes  where  there  is  a  great  deal  of  paper  to  be  covered,  dampen 
the  surface  well  first  with  a  small  sponge,  then  with  a  large  brush 
and  bold  yet  light  quick  strokes  put  in  the  sky. 

Brushes  and  Paper.  A  small  brush  with  a  good  point  is 
necessary  for  "  drawing  in  "  and  for  detail.  A  bristle  brush  is  very 
useful  to  remove  color  and  to  soften  hard  lines.  Chinese  brushes 
are  very  good,  as  they  hold  a  great  deal  of  color  and  at  the  same 
time  have  a  good  point. 

If  an  edge  shows  a  hard  line,  this  can  be  softened  by  dipping 
the  bristle  brush  into  clean  water  and  rubbing  the  point  lightly 
over  the  edge  that  is  too  hard,  sopping  up  the  water  at  frequent 
intervals  with  a  clean  blotter.  It  is  important  that  plenty  of  clean 
water  should  be  used  and  that  the  water  be  taken  up  with  a  blotter 
very  often. 

When  a  "high  light"  is  lost,  and  a  bristle  brush  does  not 
take  out  enough  color,  the  "high  light"  may  be  put  in  with 
Chinese  white,  mixing  it  with  a  little  of  the  color  of  the  material. 
Look  at  your  subject  broadly  and  do  not  try  to  put  in  too 
many  details.  Whatman's  hot  pressed  70-  or  90-lb.  paper  is  good 
to  use.  The  hot  pressed  paper,  which  has  a  smooth  surface,  take? 
the  color  better  than  the  rough  surfaced  or  cold  pressed  paper,  but 
the  cold  pressed  has  more  texture  and  gives  better  atmospheric 
effects. 

Combination  of  Color.  For  the  inexperienced  a  few  hints  as 
to  what  combinations  of  color  to  use  may  be  helpful.  It  must 


278 


A  beautiful  example  of  rendering  in  wash,  showing  conventional  method  of  represent!! 

plan  and  surrounding  grounds.     This  is  usually  done  in  strong  contrasting  colors. 

The  black  rectangles  indicate  statuary;  the  crossed  lines  arbors.     Note 

how  the  shadows  of  the  building,  terraces,  statuary,  etc.,  help  to 

£-ve  interest  to  the  drawing 


ARCHITECTURAL  DRAWING 


always  be  remembered  that  the  colors  must  be  clean  to  get  fresh 
bright  effects. 

A  simple  blue  sky:    Prussian  Blue,  Antwerp  Blue  or  Cobalt  Blue. 
Clouds:    Light  Red.     For  the  distance  use  lighter  tones  with  the 

addition  of  a  little  Emerald  Green  or  Carmine. 
Dark  part  of  clouds:    Light  Red  and  New  Blue. 
Roads  and  pathways  in  sunlight:  Yellow  Ochre  and  Light  Red  with 

a  little  New  Blue  to  gray  it. 
Cast  shadows:  Cobalt  and  Light  Red  or  Carmine  with  a  little  green 

added. 
Grass  in  sunlight:    Lemon  Yellow  and  Emerald  or  Hooker's  Green; 

or  Indian  Yellow  and  Emerald  Green. 

Grass  in  shadow:    Prussian  Blue  and  Indian  Red;  or  Prussian 
Blue  and  Burnt  Sienna.     Aurora  Yellow  and  Prussian   Blue 
gives  a  green  color  similar  to  Emerald. 
Eor  gray  roofs  in  sunlight:     Light  Red  and  New  Blue. 

Primary,  Secondary  and  Complementary  Colors.  The  com- 
bination of  colors  maybe  learned  by  means  of  the  diagram,  Eig.  21, 
which  will  assist  the  student  greatly  in  his  water  color  work.  The 
three  primary  colors  are  yellow,  red  and  blue.  The  combination 

of  any  two  of  these  will  give  a  sec- 
ondary color — orange,  purple  or 
green.  Two  colors  are  called  com- 
plementary colors  if  the  one  is  com- 
posed  of  two  of  the  primary  colors 
and  the  other  one  is  the  third  pri- 
mary color.  Thus,  green,  composed 
of  the  primary  colors  blue  and  yel- 
low, has  as  complementary  color  the 
third  primary  color ;  i.e.,  red.  Con- 
sulting the  diagram  it  will  be  found 
that  opposite  colors  are  complemen- 
tary colors;  i.e.,  blue  and  orange, 
red  and  green,  yellow  and  purple.  If  two  complementary  colors  are 
put  alongside  of  one  another,  each  color  will  look  brighter  along- 
side the  other  than  if  placed  by  itself;  this  is  due  to  the  law  of 
contrasts.  Thus,  the  same  green  if  placed  alongside  red,  will  look 
greener  than  when  by  itself,  and  the  same  holds  good  for  the 


^'purple 

Fig.  21.    Diagram  of  Colors. 


281 


ARCHITECTURAL  DRAWING 


red.  If  complementary  colors  are  mixed  together  you  get  a  softer 
color,  a  gray  and  sometimes  muddy  effect.  If  blue,  red  and  yel- 
low are  mixed  together  in  the  right  proportion  a  soft  gray  is 
obtained 

Water  Color  Rendering.  Where  colors  are  used  for  architec- 
tural drawings  they  should  be  mixed  fresh,  if  clear  tints  are  wanted, 
but  in  places  where  it  is  desired  to  have  certain  effects  obtained  by 
allowing  color  to  settle,  tints  that  have  stood  some  time  may  be 
used.  Especially  is  this  true  for  plans,  where  the  color  is  allowed 
to  settle  in  putting  in  grass,  trees,  statues,  etc.  When  it  is  desired 
to  let  the  color  settle  it  is  better  to  leave  the  board  flat  and  carry 
the  color  along  with  the  brush,  leaving  it  until  it  is  dry.  Some 
draftsmen  keep  the  board  level  for  all  their  work. 

Sketch  elevations  in  pencil  may  be  inked  in  or  may  be  ren- 
dered directly  in  water  color,  the  shadows  being  cast  and  various 
colored  tints  laid  on  to  show  the  different  materials,  shadows,  win- 
dow openings,  etc. 

Sketches  rendered  in  sepia  only  are  very  effective,  putting  in 
the  lines  with  the  pen,  and  rendering  with  light  sepia  washes. 
Elevations  are  usually  most  effective  when  the  shadows  are  put  in 
by  washes  that  grade  quickly  from  dark  to  light,  brilliancy  is  thus 
obtained.  It  is  astonishing  what  effects  can  be  obtained  with  very 
faint  washes.  This  applies  especially  to  small  scale  drawings. 
The  larger  the  scale  of  the  building  or  detail,  the  stronger  should 
be  the  coloring  and  values  of  light  and  dark. 

When  sections  are  colored  the  parts  actually  in  section  are 
outlined  with  a  strong  red  line  and  tinted  a  very  light  pink.  The 
colors  on  the  wall  are  merely  suggested. 

On  the  plans  the  mosaic,  furniture,  etc.,  is  often  shown  in  a 
light  pink.  Where  a  statue  has  a  prominent  place  it  is  put  in  in 
strong  vermilion.  Attention  is  called  here  to  the  fact  that  letter- 
ing on  a  plan  counts  as  mosaic,  and  should  be  done  in  such  a  way 
that  it  will  help  the  effect  sought  for,  a  very  important  point  to 
remember  in  competition  drawings. 

The  important  thing  to  remember  in  rendering  is  to  get  the 
correct  relative  value  of  lights  and  darks.  To  do  this  it  is  neces- 
sary to  have  clearly  in  mind  what  the  important  features  to  be 
brought  out  are  and  what  is  the  most  direct  way  of  accomplishing 


ARCHITECTURAL  DRAWING  37 

this;  in  other  words,  the  aim  should  be  to  make  as  harmonious  a 
composition  as  taste,  talent  and  thought  can  produce. 

Water  Color  Sketching.  Nothing  is  more  useful  to  an  archi- 
tectural draftsman  than  out-of-door  sketching  in  colors.  A  water 
color  block  should  be  his  constant  companion  on  his  Saturday  half 
holidays,  and,  if  possible,  he  should  join  some  sketching  class. 

The  sketches  in  water  color  may  be  taken  from  natural  scenery, 
but  the  student  should  also  make  studies  and  color  sketches  from 
color  decorations  of  exterior  and  interior  of  buildings. 

Do  not  indicate  too  much  in  water  color  sketching,  search  for 
the  big  masses  in  shape  and  color  values  and  put  them  in  direct 
and  simple. 

A  draftsman  who  gives  his  leisure  time  to  water  color  sketch- 
ing in  summer,  and  to  evening  classes  in  drawing  from  the  antique 
and  from  life  in  winter,  will  have  as  good  a  training  as  could  be 
wished  for  in  this  part  of  his  architectural  career. 

PRELIMINARY  STUDIES  IN  ARCHITECTURAL  DESIGN. 

Methods  of  Study.  Different  designers  work  up  their  draw- 
ings in  individual  ways.  Good  results  are,  as  a  rule,  accomplished 
by  getting  ideas  on  paper,  comparing  and  working  up  the  best,  and 
combining  different  features  from  the  different  sketches.  Some  men 
of  the  highest  ability  prefer  to  work  in  this  way.  Others  work  up 
the  ideas  in  their  minds  before  drawing  them  on  paper,  often  not 
changing  a  line  once  it  is  put  on  paper.  The  latter  proceeding  is 
dangerous,  as  it  tends  to  make  the  designer  satisfied  with  the  first 
idea  that  comes  to  his  mind,  and  makes  him  unwilling  to  search  for 
other  ideas;  he  is  liable  to  become  narrow  and  careless. 

Putting  Ideas  on  Paper.  The  problem  which  the  architect 
has  to  work  out  is  to  make  the  building  of  a  form  and  of  dimensions 
best  suited  to  the  demands  of  the  client,  so  that  all  the  parts  are  in 
good  proportion  and  in  harmony  with  each  other.  Much  detail  in 
former  times  was  studied  on  the  building  in  course  of  construction, 
but  now  everything  has  to  be  prepared  beforehand,  and  the  smallest 
details  foreseen  before  the  building  is  commenced.  The  preliminary 
sketches  are  generally  made  on  a  small  scale,  one-eighth  inch,  one- 
sixteenth  inch,  or  one-thirty-second  inch  to  the  foot,  worked  up  from 
rough  thumb-nail  sketches  often  not  drawn  to  scale.  Some  design- 


ARCHITECTURAL  DRAWING 


ers  will  work  up  their  schemes  upon  the  back  of  an  envelope,  and 
these  can  be  brought  into  scale  in  the  same  proportion  in  which  they 
are  sketched  out  by  means  of  the  proportional  dividers. 

Architectural  work  is  half  way  between  mechanical  drawing 
and  so-called  freehand  drawing,  permitting  more  freehand  work 
than  an  engineer  would  consider  proper,  and  demanding  more  line 
drawing  than  an  artist  would  think  of  employing. 

The  most  successful  architectural  design  generally  comes  from 
numerous  freehand  sketches,  as  well  as  accurate  studies,  frequent 
erasing  and  changing  on  the  original  drawing,  placing  studies  side 
by  side  and  comparing  them,  until  a  satisfactory  solution  is  found. 
It  is  only  by  continued  practice  that  freedom  of  expression  is  obtained, 
and  without  this  faculty,  the  best  ideas  are  useless.  The  well- 
equipped  architect  carries  a  soft  pencil,  and  sketches  as  rapidly  as 
possible  every  new  impression  on  paper. 

Use  of  Tracing  Paper.  When  the  plan  has  been  well  studied,  a 
sketch  of  the  elevation  and  section  should  be  made  as  a  check  on  the 
"scale"  of  the  plan.  Tracing  paper  should  be  constantly  used,  both 
in  making  rough  studies  over  the  drawing  and  in  making  accurate 
line-drawings  for  comparison  of  the  different  schemes.  These  draw- 
ings on  tracing  paper  as  studies  in  proportion,  should  be  as  accurate 
as  the  finished  drawing,  though,  of  course,  no  care  is  necessary  in  giv- 
ing them  a  finished  appearance,  and  the  straight  lines  may  run  across 
intersections,  and  erasures  and  changes  may  be  made  freely. 

METHOD  OF  STARTING  A    PROBLEM  AT    THE  ECOLE    DES 
BEAUX  ARTS,  PARI5. 

At  the  School  of  Fine  Arts,  in  Paris,  when  a  problem  is  given 
to  the  students,  they  are  obliged  to  work  one  day  by  themselves 
getting  out  the  scheme  of  the  building.  Each  student  then  takes 
a  tracing  of  his  "  sketch,"  leaving  the  original  at  the  school.  In  his 
own  "atelier"  or  drafting  room,  he  works  up  the  "sketch"  with  the 
criticism  of  his  own  professor  and  fellow  students.  At  the  end  of 
four  or  six  weeks  the  finished  drawings  are  sent  to  the  school  to  be 
exhibited  and  prizes  or  mentions  awarded  by  the  jury  selected  by 
the  school.  The  preliminary  work  of  the  "sketch"  is  very  similar 
to  actual  practice,  because  an  architect  is  often  obliged,  in  a  very 
short  time,  to  get  out  preliminary  sketches  for  a  client,  and  these 


284 


ARCHITECTURAL  DRAWING 


having  been  accepted,  it  is  his  duty  to  carry  them  out  with  as  little 
change  as  possible,  excepting  to  -perfect  the  proportions  and  details- 
Sketch  Plans.  The  plans,  even  in  the  studies,  should  have 
the  walls  colored  in  with  any  appropriate  color,  such  as  dark  gray, 
as  otherwise  it  is  very  difficult  to  see  on  paper  the  proportion  of  the 
spaces,  the  ease  of  circulation,  and  the  general  character  of  the  whole 
in  mass  and  in  detail. 

Sketch  Elevations.  After  the  plans  have  been  thoroughly 
studied  the  elevations  may  be  worked  up,  studying  the  architectural 
style  and  general  character  of  the  exterior  in  relation  to  the  plan. 
These  drawings  should  be  studied  over  and  over  again  on  tracing 
paper,  casting  the  shadows  so  that  the  projection  of  cornices  and 
sizes  of  window  openings  may  be  seen;  at  this  time  also  details  of  a 
larger  scale  may  be  studied  in  sketch  form. 

On  the  elevations  or  in  perspective,  the  jointing  of  the  stone, 
brick  or  terra  cotta,  may  be  drawn  and  this  will  give  a  surface  texture 
that  may  save  further  rendering. 

Perspective  Studies.  For  all  smaller  buildings,  such  as 
cottages,  farm  buildings  and  small  public  buildings,  requiring  a 
picturesque  treatment,  such  as  a  broken  roof  line,  it  is  better,  instead 
of  spending  much  time  on  elevations  with  the  shadows  cast,  to  draw 
almost  at  the  start,  a  perspective  from  the  most  important  point  of 
view,  and  make  rapid  sketch  perspectives  from  several  different 
points  of  view. 

Perspective  Drawing.  A  perspective  should  be  made  of 
every  building  designed,  primarily  in  order  that  the  designer  may  see 
how  planes  at  right  angles — for  instance,  the  side  and  front  eleva- 
tions— come  together,  and  also  how  roof  lines  will  look  from  the 
customary  point  of  sight.  This  is  especially  necessary  in  buildings 
of  a  picturesque  character.  A  perspective  is  also  generally  demanded 
for  exhibition  purposes,  so  that  clients  may  gain  a  better  idea  of  the 
appearance  of  the  proposed  building. 

Perspective  sketches  to  explain  certain  points  in  the  drawings 
are  of  great  value.  Very  difficult  detail  drawings  may  have  sketched 
on  them  the  details  in  perspective  from  different  points  of  view. 
These  sketches  will  explain  more  clearly  than  many  careful  drawings 
how  certain  parts  come  together.  Such  drawings  are  very  welcome 
in  the  workshop  and  on  the  building  in  course  of  construction. 


40  ARCHITECTURAL  DRAWING 

EXHIBITION  DRAWINGS. 

Exhibition  or  show  drawings  consist  of  plans,  elevations,  sec- 
tions, and  perspectives;  the  drawings  are  in  line,  pencil,  pen  and  ink, 
or  color;  and  all  are  carefully  drawn,  and  mounted,  to  show  the 
scheme  for  the  proposed  building.  These  may  be  the  preliminary 
sketches  of  an  architect  regularly  employed,  or  they  may  be  com- 
petition drawings. 

The  plan  is  blacked-in,  the  furniture  delicately  tinted,  and  the 
surroundings  rendered  in  monotone  or  color.  On  the  elevations 
the  windows  are  colored  in  with  graded  washes.  Every  shadow  is 
cast  and  tinted  in;  if  in  color,  the  different  materials  are  indicated 
by  different  colors.  In  the  sections  shadows  are  cast  on  the  section 
and  the  color  schemes  of  the  various  apartments  are  suggested. 

The  general  idea  of  the  proposed  building  is  best  presented  to 
the  public  by  a  perspective  view,  rendered  in  pencil,  pen  and  ink  or 
color.  The  perspective  is  generally  laid  out  in  the  architect's  office 
and  then  it  is  sent  to  a  professional  artist  for  completion. 

SKETCHING. 

We  have  considered  drawings  made  on  a  drawing  board  with 
T-square  and  triangles.  There  is  another  way  of  drawing,  that  is, 
by  sketching. 

The  sketch  is  the  most  rapid  means  of  progressing  in  the  art  of 
designing.  In  sketching  an  object  one  examines  it  more  closely  than 
one  otherwise  would.  Not  only  is  it  necessary  to  understand  a  com- 
position, to  distinguish  its  separate  parts,  but  it  is  necessary  to  fix 
the  relation  of  these  parts  and  to  study  carefully  the  proportions. 
The  eye  alone  is  the  real  instrument  for  measurement  and  guide  for 
proportion,  and  the  sketch  is  the  means  for  training  the  eye.  Prac- 
tice alone  will  give  facility  in  sketching. 

Do  not  make  sketches  primarily  in  order  to  collect  material,  but 
make  them  in  order  to  learn  how  to  see.  Sketch  books  may  be  kept 
as  souvenirs,  but  the  profit  from  them  will  be  more  in  the  instruc- 
tion gained  while  making  the  sketch  than  in  the  sketches  themselves. 
Through  abundant  sketching  a  freedom  in  the  expression  of  ideas 
is  also  gained. 

The  point  to  keep  in  view  in  sketching  is  to  show  the  character 
of  the  subject  attempted.  The  exact  dimensions  one  can  get  only  with 


286 


ARCHITECTURAL  DRAWING 


41 


the  tape-line,  but  the  most  carefully  measured  drawings  often  fail  to 
show  much  character.  A  photograph  is  liable  to  represent  a  subject 
other  than  as  the  eye  and  hand  see  it.  But  if  the  effect  of  the  sub- 
ject, the  impression  of  the  beholder,  can  be  reproduced  in  the  sketch, 


Fig.  22.    Cross-Section  Paper. 

something  has  been  obtained  which  the  tape  and  the  camera  cannot, 
hope  to  accomplish. 

Materials  for  Sketching,  At  first  it  is  a  good  idea  to  use  cross- 
section  paper,  paper  ruled  in  squares  of  \  in.  or  less,  which  makes 
it  easier  to  draw  at  right  angles;  but  from  the  moment  that  the 
draftsman  is  able  to  get  along  without  these  lines  he  should  employ 
only  blank  paper.  A  small  sketch  book  should  be  carried  in  the 
pocket.  For  small  pencil  sketches  a  smooth  paper  (metallic  paper) 


287 


42  ARCHITECTURAL  DRAWING 

gives  crisp  effects,  but  much  rubbing  cannot  be  done.  A  gray  paper 
gives  good  effects  with  pencil  or  color  used  as  a  medium,  chalk  or 
Chinese  white  giving  the  high  lights. 

The  sketches  can  be  made  in  pencil,  charcoal,  ink,  crayon,  or 
in  colors;  the  medium  of  expression  is  of  little  importance,  as, 
after  having  learned  to  see  an  object  rightly,  the  drawing  can  be  made, 
as  Ruskin  says,  "with  a  stick  of  wood  charred  at  the  end."  A  sketch 
should  be  light  and  cleai.  Shadows  may  be  cast,  but  merely  to 
express  the  projections,  and  should  be  only  lightly  shaded  in. 

Subjects  to  Sketch.  In  almost  every  city  there  are  small 
classes  in  freehand  and  charcoal  drawing  which  the  architectural 
student  should,  if  possible,  attend;  and  in  connection  with  every 
art  museum  there  are  generally  day  and  evening  classes.  But 
great  progress  may  be  made  by  individual  work  in  drawing  interest- 
ing objects.  Do  not  commence  with  making  a  sketch  of  a  whole 
building.  Sketch  individual  features,  like  a  doorway,  some  orna- 
ment, etc.  Sketches  of  buildings  or  motives  of  buildings  should  be 
made  in  direct  projection  as  well  as  in  perspective.  The  sketches 
in  perspective  will  help  to  explain  the  geometrical  sketches  and  to 
teach  the  student  to  think  in  three  dimensions. 

A  great  deal  can  be  learned  by  copying  photographs  of  good 
work,  but  the  greatest  benefit  is  derived  by  drawing  from  nature. 
By  the  latter  the  student  learns  almost  unconsciously  the  laws  of  per- 
spective, form,  and  proportion,  and  above  all  learns  to  think  "in  the 
solid."  It  leads  to  the  appreciation  of  the  fact  that  architectural 
drawing  is  the  expression  of  solids,  and  in  order  that  these  solids 
shall  be  successfully  shown,  the  one  that  draws  them  has  to  see  them 
in  his  mind's  eye  as  they  actually  are  going  to  appear  when  built. 

He  should  be  very  careful  in  the  selection  of  his  models  to  draw 
from,  and  choose  only  such  that  are  beautiful.  Too  often  the  stu- 
dent is  told  to  draw  no  matter  what,  under  the  pretext  that  it  is  always 
an  exercise.  Without  doubt  it  is  difficult  to  draw  any  model  at  first 
exactly,  but  what  does  it  amount  to  if  he  occupies  his  time  with  copy- 
ing those  things  which  do  not  stimulate  and  develop  his  sense  of 
beauty.  There  is  no  better  practice  than  to  draw  a  flower,  a  leaf; 
and  if  he  has  access  to  museums,  etc.,  he  should  draw  from  the 
antique  models,  sculpture,  and  ornamental  subjects.  By  drawing 


ARCHITECTURAL  DRAWING 


the  latter  he  can  learn  besides  how  in  olden  times  natural  objects 
were  conventionalized  for  use  in  decoration. 

Memory  sketches  are  excellent  practice.  Go  to  see  a  model, 
study  it  as  carefully  as  possible;  then  go  home  and  make  a  sketch  of 
it.  The  student  may  be  sure  that  his  memory  will  betray  him,  and 
he  should  go  back  to  the  subject  and  study  it  again  and  again — twice 
or  three  times  if  necessary — after  which  he  will  finally  arrive  at  a 
reasonably  accurate  sketch. 

MEASURED  WORK. 

There  are  two  occasions  for  making  measurements  of  old  build- 
ings; one,  when  it  is  proposed  to  make  alterations;  the  other,  for  the 
sake  of  study,  making  drawings  of  portions  either  for  immediate 
study  or  future  reference. 

Materials.  It  is  a  good  plan  if  possible  to  take  a  small  draw- 
ing board,  T-square,  and  triangles  to  the  building.  Cross-section 
paper  ruled  one-eighth  inch  between  light  lines  and  one  inch  between 
heavy  lines  is  very  convenient.  See  illustration,  Fig.  22,  showing 
use  of  cross-section  paper.  Drawings  may  be  laid  out  directly  to 
scale  on  this  paper,  at  one-eighth,  one-quarter,  or  one-sixteenth  inch 
to  the  foot,  or  details  drawn  at  three-quarters  inch  to  the  foot,  or 
full  size. 

Measuring  Tapes.  The  dimensions  should  be  taken  with  a 
tape,  and  for  architectural  work  a  "metallic"  tape  or  cloth  reinforced 
with  fine  wires  and  having  clear  figures,  is  very  satisfactory,  though 
it  will  be  advisable  to  use  a  steel  tape  for  very  accurate  work. 

Datum  Lines.  As  a  general  rule,  it  is  best  in  frame  buildings 
to  take  the  horizontal  measurements  on  the  sill  line,  making  a  small 
section  to  show  the  relation  of  the  sill  to  the  walls.  In  brick  and 
stone  buildings  they  should  be  taken  on  the  outside  wall  face  or  ashlar 
line.  For  heights,  the  finished  floor  levels  should  be  taken  as  starting 
points,  the  main  first  floor  of  the  building  being  the  general  datum. 
If  there  are  many  projections  in  plan  it  will  be  well  to  draw  a  straight 
base  line  and  measure  it  from  this  line.  If  old  buildings  are  out  of 
level  it  will  be  necessary  to  use  a  straight  edge  or  draw  a  level  line 
on  the  wall  and  measure  up  and  down  from  this  level. 

Hand  Level.  The  hand  level  will  be  found  very  convenient 
for  obtaining  approximately  the  grades  about  the  building.  This 


289 


44 


ARCHITECTURAL  DRAWING 


is  a  small  instrument  used  by  railroad  engineers  in  working  out  the 
elevations  on  each  side  of  the  track.  The  level  can  be  also  obtained 
by  looking  toward  the  horizon,  pulling  down  the  hat  brim  until  the 
point  coincides  with  it,  turning  on  the  heel  carry  the  horizon  level 
to  the  direction  desired.  This  will  give  a  point  at  the  level  with  the 
eye. 

Elevation  Measurements.  Total  distances  should  be  taken, 
and  interior  heights  from  floor  to  floor  (with  thickness  of  floors) 
should  be  run  from  basement  floor  to  top  of  roof,  and  if  possible  a  line 
should  be  dropped  down  the  outside  of  the  building  to  check  this. 
It  is  well  to  mark  size  of  glass,  and  give  outside  dimensions  of  sashes, 


Fig.  23.    Twelve-inch  Single  Jointed  Rule  and  Level. 

taking  dimensions  to  centers  of  windows  or  edges  of  stone  or  brick 
openings.  Measurements  are  given  by  some  architects  from  frame 
to  glass  openings.  Sketches  or  details  should  be  made  of  typical 
windows,  and  variations  from  the  type.  Roof  pitches  may  be  obtained 
by  a  level  and  measuring  the  rise  per  foot,  or  outside  dimensions  and 
total  rise  may  be  taken.  A  convenient  instrument  for  doing  this 
work  is  a  twelve-inch  single-jointed  rule  and  level,  shown  in  Fig.  23. 
Arches.  In  measuring  arches,  the  height  A,  Fig.  24,  from  the 
ground  to  the  spring  of  the  arch  should  be  given,  the  total  height  B, 
and  the  width  C.  The  curve  is  obtained  by  giving  the  length  of  the 
radii  or  by  laying  a  straight  edge,  D  F,  against  the  curve  and  measur- 


ARCHITECTURAL  DRAWING  45 

ing  the  distance  D  E,  which  wiU  locate  one  point  in  the  curve.     Other 
points  may  be  taken,  by  offsets  from  the  straight  edge. 

Projections.     Projections   are   obtained  by  measuring  in  from 
a  plumb  line.     The  diameter  of  columns  may  be  ascertained  by  means 
of  two  parallel  straight  edges  or  by  dividing  the 
circumference  by  3.1416. 

Inaccessible  Portions.  In  places  where  it 
is  impossible  to  reach  the  point  it  is  desired  to 
measure  there  are  several  ways  of  obtaining  the 
dimensions  with  considerable  accuracy.  A  photo- 
graph should  always  be  ^taken  of  the  building 
measured,  and  a  proportional  scale  can  be  made 
from  the  known  dimensions,  which  can  be  used 
on  the  photograph  for  determining  unknown 

Pig.  24.  Measurement  . 

of  Arches.  dimensions. 

Approximations.  In  brick,  stone,  clapboarded  or  shingled 
buildings  the  different  courses  may  be  counted  and  tlje  totals  figured 
from  those  that  can  be  measured.  Where  rapid  memorandum 
sketches  are  made  distances  may  be  easily  obtained  by  pacing,  some 
men  taking  nearly  a  three-foot  pace,  others  walking  easily  five  feet 
in  two  steps.  In  this'  case  every  other  step  is  counted  as  five  feet. 
The  total  heights  may  be  obtained  by  measuring  up  as  high  as  can 
be  reached,  then  standing  at  a  distance,  holding  a  pencil  at  this 
known  height,  measuring  the  distance  by  the  eye  to  the  top  of  the 
building.  Or,  a  man's  height  can  be  taken  to  gauge  the  approxi- 
mate height.  The  foot  rule  may  be  held  up  at  such  a  distance  from 
the  eye  that  every  quarter  inch  corresponds  to  a  foot  on  the  building, 
and  the  dimensions  can  be  read  off  in  this  way. 

Rubbings.  Rubbings  may  be  taken  of  tablets,  lettering  and 
flat  ornaments  by  laying  paper  on  the  ornament  and  rubbing  over  it 
with  a  shoemakers'  heel  ball.  The  pattern  cut  in  will  be  left  white 
and  the  rest  of  the  s*.  rface  will  be  blackened  by  the  heel  ball. 


291 


PLATE    A 


REVIEW    QUESTIONS 

ON     THE     SUBJECT     OF 

ARCHITECTURAL     DRAWING. 


Materials  required :     H  H,  F,  and  B  B  pencils. 

Erasers:  A  large  soft  rubber,  and  a  firm  one;  also  an  ink  eraser 
and  erasing  shield. 

Set  of  instruments,  including  compasses,  bow  instruments,  dividers, 
ruling  pen. 

Architect's  scale.  2  drawing  boards,  28  x  42  and  23  x  32  inches. 
T-square,  and  one  45°  and  one  3(P-60°  triangle.  Nest  of  tinting  saucers, 
sponge,  blotters,  India  ink,  half-cake  of  carmine,  half-tube  of  Prussian 
blue,  Whatman's  hot-pressed  paper,  Imperial  size.  Manila  paper.  Cross- 
section  paper.  Tracing  paper. 

1.  Give  the   dimensions   of   "Double   Elephant"   paper;  of 
"Imperial"  paper. 

2.  What  simple  method  is  adopted  by  architects  to  correct  a 
T-square  which  does  not  fit  a  drawing  exactly  ? 

3.  What  expedient  is  adopted  by  architects  to  identify  the 
T-square  with  which  a  drawing  is  made  and  why  is  this  necessary? 

4.  Describe  the  difference  between  "hot  pressed"  and  "cold 
pressed"  paper  and  the  purposes  for  which  each  is  best  adapted. 

5.  Describe  "tinted  papers,  and  scratch  papers"  and  their  use. 

6.  How  is  the  flow  of  ink  on  tracing  cloth  improved  ?    Which 
side  of  the  cloth  is  used  ?     Why  ? 

7.  What  is  the  advantage  of  tracing  paper?  of  tracing  cloth? 

8.  What  is  the  customary  scale  for  drawings  in  American 
offices?  in  English  offices? 

9.  Explain  fully  the  special  advantages  of  the  3-inch,  1-inch  and 
f-inch  scales. 

10.  What  is  a  plan;  an  elevation;  a  section? 

11.  Lay  out  the  plan  and  section  of  a  staircase  on  a  scale  of 
J-inch  equals   1   foot,  to  the  following  dimensions:  Width  5  feet, 


50  ARCHITECTURAL  DRAWING 

height  from  finished  floor  11  feet  11  inches.      Use  the  short  method 
explained  in  Fig.  3.     (Leave  all  construction  lines.) 

12.  How  is  the  brilliancy  and  snap  of  drawings  increased  ? 

13.  How  are  different    planes  and  joint  lines  indicated  in  an 
elevation. 


RENDERING  IN  WASH. 

General  Remarks.  Whatman's  cold  pressed  paper  is  the 
best  for  these  examination  plates.  The  Imperial  size  is  22  in.  X 
30  in.,  and  one  of  these  sheets  will  cut  into  two  sheets  15  in.  X  22 
in.,  which  will  be  large  enough  for  all  of  the  examination  plates. 
The  lines  are  to  be  inked  with  India  ink,  after  which  the  drawing 
is  to  be  washed  before  rendering.  The  lines  must  be  drawn  very 
neatly  and  carefully. 

Before  starting  to  render,  small  pencil  sketches  should  be 
made  to  study  the  relations  of  the  lights  and  shadows  and  to  deter- 
mine their  values.  The  student  will  find  that  with  the  aid  of  such 
pencil  sketches,  he  can  render  with  greater  accuracy,  and  will 
obtain  quicker  and  better  results. 

The  shadows  in  plates  C  to  E  are  indicated  by  dotted  lines. 
In  the  finished  drawings,  these  should  be  shown  \nfine  light  full 
pencil  lines. 

In  fastening  the  paper  to  the  board,  care  must  be  taken  not 
to  allow  the  paste  to  extend  more  than  half  an  inch  back  from  the 
edge  of  the  paper. 

Be  sure  to  write  your  name  and  address  legibly  on  the  back 
of  each  drawing. 

PLATE  I. 

This  plate  is  to  be  three  times  the  size  of  plate  A  and  the 
different  rectangles  are  to  be  rendered  as  follows: 

Rectangle  A,  with  a  light  even  wash  similar  in  tone  to  "  High 

Light"  in  the  value  scale: 

Rectangle  B,  with  a  medium  even  wash  similar  to  "  Middle": 
Rectangle  C,  with  a  very  dark  even  wash  similar  in  tone  to  "Dark": 
Rectangle  D  has  various  compartments  which  are  to  be  rendered 
with  an  even  wash  having  the  same  tone  in  each  compartment 
similar  to  "  Low  Light": 

Rectangle  E,  with  a  medium  even  wash  similar  to  -  Middle^,  leav- 
ing the  four  enclosed  spaces  "  White": 


ARCHITECTURAL  DRAWING 


51 


Rectangle  F,  with  alternating  dark  and 
medium  stripes,  the  first,  third,  fifth 
and  seventh  stripe  to  be  dark,  similar 
to  "  High  Dark",  the  others  light  sim- 
ilar to  "Low  Light": 

Rectangle  G  has  various  strips  which  are 
to  be  graded  evenly,  the  top  strip  be- 
ing the  darkest,  the  next  one  a  little 
lighter  and  so  on  until  the  last  strip 
is  very  light  in  tone.  The  successive 
values  of  the  strips  should  be  "  Dark", 
"High  Dark",  "Middle",  "Low 
Light",  "Light"  and  "High  Light": 

Rectangle  H,  with  a  graded  wash  varying 
from  dark  at  the  top  to  light  at  the 
bottom.  Care  should  be  taken  to  have 
the  wash  evenly  graded.  The  dark 
should  be  similar  in  value  to  "  High 
Dark"  and  the  light  similar  to  "  Low 
Light": 

Rectangle  I,  with  a  graded  wash  varying 
from  light  at  the  top  to  dark  at  the 
bottom.  In  rendering  this  rectangle 
the  board,  should  not  be  turned  around 
and  the  wash  put  on  by  grading  from 
light  to  dark,  but  the  board  should  be 
left  in  the  same  position  and  the  wash 
graded  by  the  admixture  of  color  in- 
stead of  water.  The  light  should  be 
similar  to  "  Light"  and  the  dark  sim- 
ilar to  "Middle": 

Rectangle  J,  with  a  graded  wash  varying 
from  dark  to  light,  the  spaces  between 
the  two  halves  of  the  rectangle  being 
left  "White".  The  dark  is  similar 
to  "  Middle",  and  the  light  similar  to 
"Light".. 


High 
Light 


HL 


Light  L 


Low 
Light 


LL 


Middle        M 


SS         HD 


Dark  D 


LD 


295 


ft) 


PLATE    B 


ARCHITECTURAL  DRAWING  53 

The  Value  Scale  is  given  merely  to  show  the  relative  degrees  of  dark- 
ness, not  to  show  the  actual  appearance  of  the  wash.  The  wash  itself  must 
be  perfectly  clear  and  transparent. 

Note.  The  various  values  should  not  be  made  in  one  wash.  Better 
effects  are  obtained  by  superimposing  several  light  washes  and  thus  obtain- 
ing a  dark  wash,  than  by  putting  on  a  dark  wash  in  one  operation. 

PLATE  II. 

This  plate  is  to  be  drawn  three  times  the  size  of  plate  B.  The 
section  of  the  mouldings  is  to  be  drawn  first,  then  lines  drawn  at 
an  angle  of  45°  from  the  different  corners  of  the  mouldings.  The 
vertical  surfaces  are  to  be  rendered  darker  than  the  horizontal  ones 
as  shown  in  the  top  moulding  in  the  first  column.  The  mould- 
ings in  the  second  and  fourth  columns  are  to  be  rendered  by  the 
French  method,  drawing^;^  light  parallel  pencil  lines  and  render- 
ing by  successive  washes,  as  shown  in  the  rendered  illustrations. 
The  mouldings  in  the  third  and  fifth  columns  are  to  be  rendered 
by  grading  directly,  by  the  addition  of  water  if  the  tone  changes 
from  dark  to  light  or  by  the  addition  of  tint  if  the  tone  changes 
from  .light  to  dark.  The  letters  and  the  border  lines  are  to  be 
rendered  as  indicated.  A  margin  of  half  an  inch  of  white  paper 
is  to  be  left  outside  of  the  border  lines. 

PLATE   III. 

Rendering  of  Doric  Order.  This  plate  is  to  be  three  times 
the  size  of  plate  C.  The  order  is  the  same  size  as  the  order  on  plate 
VII,  in  the  Roman  Orders.  For  rendering  the  order,  the  plate 
on  page  5,  "Detail  of  Greek  Doric  Order",  will  serve  as  a  guide. 
The  background  A  should  be  graded  from  dark  at  the  top  to  light 
at  the  bottom  similar  to  the  wash  between  the  column  and  pilaster 
in  the  plate  mentioned  above.  The  mouldings  may  be  put  in  by 
the  French  method  as  shown  on  page  28.  The  background  B  should 
be  a  light  evenly  graded  wash  similar  to  the  upper  part  of  the 
background  in  the  frontispiece,  "  Fragments  from  Roman  Temple", 
having  the  wash  somewhat  darker  at  the  top  and  grading  it  out  to 
very  light  at  the  bottom.  No  trees,  etc.,  are  to  be  shown  in  the 
background.  The  steps  will  have  a  very  light  wash,  that  on  step 
C  being  hardly  noticeable,  the  step  D  a  slightly  more  pronounced 
wash,  and  the  step  E  a  little  darker  still,  but  very  light  in  tone. 
Study  the  value  scale  to  determine  these  gradations.  The  tablet 
with  letters  may  be  rendered  similar  to  the  tablet  at  the  bottom  of 


297 


LLIUUUUUUUUUUUUUU 


PLATE    C 


PLATE    D 


56  ARCHITECTURAL  DRAWING 

the  plate  mentioned  before.     Reflected  •  shadows  are  to  be  put  in 
and  care  should  be  taken  to  show  the  reflected  lights  in  the  shade. 

PLATE  IV. 

This  plate  is  to  be  drawn  double  the  size  of  plate  D.  A  mar- 
gin one  and  one-half  inches  is  to  be  left  as  a  white  border  outside 
the  border  line.  The  "  Doric  Doorway  from  Roman  Temple  at 
Cori",  page  27,  will  serve  as  a  guide  for  rendering  this  plate. 
The  window  opening  is  to  be  rendered  with  an  even  dark  wash, 
and  the  wall  surface  is  to  have  a  light  tone.  The  shadows  are 
indicated  by  a  faint  wash  and  are  to  be  modeled  and  graded  in 
such  a  way  that  they  all  have  proper  relative  values. 

PLATE  V. 

This  plate  is  to  be  drawn  double  the  size  of  plate  E,  and  a 
margin  of  an  inch  and  a  half  of  white  is  to  be  left  outside  of  the 
border  line.  Plate  XXXIII,  in  the  Roman  Orders,  can  be  used  as  a 
guide,  the  Temple  drawn  there  being  of  the  same  size  required  for 
this  problem.  If  the  flutes  on  the  columns  are  put  in,  they  should 
be  drawn  with  watered  ink  so  that  they  are  not  too  pronounced. 
The  shadows  and  the  parts  in  shade  are  shown  by  a  faint  flat  wash 
outlined  by  dotted  lines.  All  the  lights  and  shadows  are  to  be 
carefully  modeled  in  their  proper  relations  to  one  another.  The 
wall  Aj  and  A2  is  on  a  line  with  the  rear  wall  of  the  Temple; 
hence  the  portion  of  the  wall,  A2,  on  the  right  of  the  Temple  will 
be  in  shade,  and  the  portion,  A,,  on  the  left  will  have  a  light  tone 
over  it  to  show  that  it  is  in  the  background.  For  the  rendering 
of  the  spaces  between  the  columns,  and  the  doorway,  the  plate 
"  Detail  from  Temple  of  JVIars  Yengeur",  page  18,  will  be  help- 
ful as  well  as  for  the  rendering  of  the  steps.  The  shadows  on  the 
steps  will  be  similar  in  grading  to  the  shadow  of  the  altar  on  the. 
steps.  The  bronze  candelabra  is  to  be  rendered  dark,  care  being 
taken  to  leave  high  lights  of  "  White"  on  the  round  surfaces 
receiving  the  most  direct  light.  For  suggestions  for  rendering 
the  bronze  plate,  page  32.  In  rendering  background,  the  front- 
ispiece, "Fragments  from  Roman  Temple  at  Cori",  will  prove 
helpful. 

14.     Draw  the  plan  shown  in  Fig.  6  at  double  the  present  size. 


800 


PLATE    E 


ARCHITECTURAL  DRAWING 


Lay  it  out  by  axes  in  the  manner  described.     Study  carefully  so  you 
may  understand  why  axes  are  used. 

15.  Draw  the  capital  and  entablature  shown  in  Fig.  9  at  double 
size  in  accordance  with  the  directions. 

16.  Draw  the  balluster  shown  in  Fig.  10  at  double  the  size  by 
the  method  of  "limiting  lines." 

17.  What  is  meant  by  modelling  a  drawing;  by  values? 

18.  What  is  the  French  method  of  laying  washes? 

19.  What  colors  will  make  a  good  palette?    What  are  the 
primary  colors?    What  are  the  secondary  colors?    Wliat  are  com- 
plementary colors  ?     Show  the  relations  of  these  colors  by  a  diagram. 

20.  Draw  on  cross-section  paper  in  freehand  the  plan  of  the 
first  floor  of  your  house  as  indicated  in  Fig  22,  from  actual  measure- 
ments, considering  each  space  equal  to  1  foot. 


EPIDAVROS 


GREEteDORIGANI 


ARCHITECTURAL  DRAWING 

PART  II 


PRACTICAL  PROBLEMS  IN  DESIGN 

NOTES  ON  THEORY  OF  DESIGN 

Composition.  It  is  impossible  to  formulate  laws  of  composition 
which,  even  if  faithfully  observed,  will  absolutely  insure  satisfactory 
results.  That  is  to  say,  any  work  of  art — such  as  a  picture,  a  statue, 
or  a  building — may  comply  with  all  the  general  laws  of  composition 
and  still 'not  be  really  artistic. 

A  great  deal  depends  on  the  feeling  of  the  designer.  A  carpenter 
may  make  a  cornice  for  the  exterior  of  a  house,  or  a  mantel-piece  for 
the  interior,  without  having  been  taught  any  of  the  formal  laws  of 
composition;  and  nevertheless,  by  careful  study  and  through  the  de- 
sire to  build  something  pleasing,  may  produce  something  much  more 
artistic  than  the  most  carefully  wrought  effort  of  a  designer  who  knows 
all  these  so-called  laws  but  lacks  all  artistic  feeling. 

Workmen  in  the  various  trades  can  assist  the  architect  materially 
in  producing  an  artistic  result.  One  of  the  most  desirable  character- 
istics in  a  workman  is  that  he  shall  execute  the  wishes  of  the  owner  as 
expressed  in  the.  architect's  drawings,  and  carry  them  out  as  artistically 
as  possible  in  every  detail.  There  is  a  certain  character  in  every  piece 
of  work  which  every  workman  should  try  to  understand  and  carry  out 
in  a  simple,  frank,  decisive,  and  straightforward  way.  Every  work- 
man feels  the  value  of  truthfulness  in  work,  and  objects  to  sham  in 
doing  good  work. 

Turner,  the  great  English  painter,  was  a  man  who  did  everything 
that  he  had  to  do,  no  matter  how  trivial,  well.  John  Ruskin  says  of 
him,  in  his  lectures  on  architecture  and  painting: 

"He  took  a  poor  price  that  he  might  live;  but  he  made  noble  drawings 
that  he  might  learn.  He  never  let  a  drawing  leave  his  hands  without  having 
made  a  step  in  advance  and  having  done  better  in  it  than  he  had  ever  done 
before." 


305 


48  ARCHITECTURAL  DRAWING 

Composition  is  the  art  of  bringing  together  various  interesting 
details,  so  that  the  whole  result  will  be  harmonious  and  pleasing. 

The  important  features  should  be  on  axes,  or  grouped  symmetri- 
cally on  either  side  of  an  imaginary  center  line.  For  instance,  in  a 
room,  if  the  fire  place  is  to  be  one  of  the  features,  it  should  be  cen- 
tered [on  one  of  the  axes  of  the  room.  The  remaining  features 
should  be  arranged  with  relation  to  the  axes  or  center  lines  of  the 
room  so  that  as  a  mass  they  will  balance  each  other. 

In  a  good  composition  some  single  feature  should  dominate — 
for  example,  in  a  building,  the  main  gable,  or  a  towrer,  or  a  long,  simple 
roof  line;  or  in  a  room,  the  fireplace  or  a  painting;  etc.  In  decorating 
a  house,  the  general  effect  should  be  pleasing,  and  should  not  be  too 
much  broken  up  by  spotted  details.  There  must  not  be  too  many 
equally  interesting  points;  otherwise  the  result  is  either  monotony  or 
competition;  one  point  must  dominate.  There  must  not,  for  example, 
be  other  gables  competing  with  the  main  gable  by  being  too  near  the 
size  of  the  main  gable.  For  the  same  reason  it  is  better  to  group 
windows  and  other  features  in  odd  numbers  and  accent  the  central  one. 

It  is  well  to  think  of  the  location  of  the  different  interesting  points. 
In  a  cottage — to  take  an  example — the  gable  that  is  seen  from  the  best 
point  of  view  should  be  near  the  center  of  the  perspective;  or,  again,  a 
tower  should  not  be  isolated  or  appear  so  much  at  one  side  from  the 
best  point  of  view  that  it  will  look  as  if  disconnected  from  the  house. 

The  smaller  parts  of  the  composition  should  have  a  proper  relation 
to  the  main  motive.  The  dormers,  for  instance,  in  a  cottage,  should 
be  in  the  same  style  as  the  main  gable,  or  in  harmony  with  the  style. 

Nevertheless,  all  these  different  parts  must  be  used  so  that  there 
will  be  some  contrast,  in  order  to  give  life  and  interest  to  the  compo- 
sition. No  detail  from  a  different  style,  however,  should  be  brought 
in  without  the  designer  being  sure  that  the  harmony  of  the  composition 
is  not  thereby  disturbed.  To  learn  how  to  compose,  it  is  not  sufficient 
to  study  books  and  receive  instruction  in  the  school  or  in  the  drafting 
room;  the  student  must  supplement  this  with  the  study  of  nature  and 
of  objects  and  buildings  themselves. 

Scale.  The  word  "scale"  has  been  used  to  designate  a  measure 
of  distance — for  example,  a  scale  of  one-quarter  of  an  inch  to  a  foot. 

"Scale"  is  used  also  in  another  sense— that  is,  to  designate  the 
appearance  of  a  building  or  any  artistic  composition,  which,  without 


306 


ARCHITECTURAL  DRAWING 


10 


considering  the  actual  dimensions,  gives  us  an  idea  of  the  size.  For 
example,  in  the  two  sketches  A  and  B  (Fig.  25)  the  two  vases  have  the 
same  proportion;  but  one  is  a  huge  decorative  vase  standing  at  the 
side  of  a  fireplace,  while  the  other  is  a  small  vase  standing  on  a  table. 


Fig.  25. 

It  requires  the  books  and  other  details  of  well  known  dimensions  to 
suggest  the  small  scale  of  the  one,  and  the  mantel-piece  to  suggest  the 
scale  of  the  other.  The  same  principle  is  seen  in  doors  and  windows, 
in  the  effect  of  steps  in  front  of  a  building,  in  balustrades,  and  in  all 
details  with  which  we  are  familiar  in  our  daily  life. 

A  drawing  is  "large  in  scale"  when  it  appears  to  be  drawn  at  a 
larger  scale  than  has  been  really  used;  for  example,  a  drawing  of  a 
building  might  look  as  if  it  were  laid  out  at  quarter-inch  scale  when  it 
was  really  laid  out  at  one-eighth-inch  scale.  If  such  a  building  were 
erected,  it  would  be  much  larger  than  the  drawing  would  indicate. 
On  the  other  hand,  if  it  is  "small  in  scale,"  the  details  are  too  small 
and  the  building  will  appear  as  if  it  were  built  for  dwarfs. 

The  materials  used  in  construction  affect  the  scale  of  a  building — 
such  as  sizes  of  brick,  stone,  clapboards,  etc.  Arches  span  larger 
spaces  than  lintels;  iron  construction  needs  fewer  supports  than  stone 
construction.  The  detail  should  be  somewhat  larger  in  scale  in  the 
upper  part  of  a  building,  where  it  is  seen  from  the  ground,  from  what 
it  is  in  the  lower  portion  near  the  observer.  Interior  detail  should  be 
finer  and  smaller  than  exterior  detail. 

Statuary,  when  called  "life-size,"  is  actually  made  about  one- 
quarter  of  the  height  larger  than  life  size.  The  reason  for  this  is  that 
objects  in  the  open  air,  or  in  large  spaces,  look  smaller  than  they 


307 


50  ARCHITECTURAL  DRAWING 

actually  are.     The  size  also  depends  largely  on  the  height  from  the 
ground. 

If  a  building  does  not  appear  to  be  in  good  scale — that  is,  if  the 
drawing  does  not  suggest  the  actual  size  of  the  building  (which  may 
be  tested  by  sketching  in  a  figure  of  a  man,  and  measuring  to  see  if  the 
house  is  in  scale  or  not),  the  detail  should  be  studied  to  see  that  it  is 
not  too  large  or  too  small;  other  details  may  be  added,  such  as  steps 
or  balustrades;  or,  if  the  design  is  an  interior,  the  walls  may  be  deco- 
rated with  natural  objects  in  the  right  scale.  Anything  that  will 
suggest  the  height  of  the  human  figure  may  be  used,  or  stone  joints 
and  other  suggestions  of  material  may  be  made  more  evident. 

Ornament.  Architectural  ornament  is  the  decorative  treatment 
of  architectural  motives  on  a  building.  The  ornament  should  be 
carefully  studied  on  the  small-scale  designs,  and  worked  up  from  these 
to  the  working  drawings. 

All  ornamentation  or  decoration  should  be  drawn  out  on  each 
design,  and  particularly  on  the  small-scale  drawings,  even  if  it  is  to  be 
carried  out  by  other  designers,  modelers,  or  decorators ;  for  it  should  be 
remembered  that  the  one  man  who  is  to  bring  together  into  a  single 
composition  all  the  elements  of  a  design,  is  the  Architect.  The  dec- 
oration, whether  sculptured  or  painted,  is  executed  either  from  scale 
details  or  full-size  drawings,  by  the  decorator  or  sculptor.  If  any 
change  is  made  from  the  main  lines  of  the  design,  this  change  should 
be  studied  on  the  small-scale  drawings;  otherwise  it  may  be  found 
that  the  detail  is  entirely  out  of  scale  with  the  general  architectural 
lines. 

It  should  be  clearly  understood  that  loading  a  building,  a  mantel, 
a  cornice,  or  any  motive  with  ornament  does  not  make  it  a  work  of  art. 
Everything  depends  on  where  and  how  the  ornament  is  applied. 
Besides,  generally,  any  motive  is  more  artistic  if  it  is  perfectly  simple. 

Criticism.  All  through  the  work  of  design,  it  is  of  greatest  ad- 
vantage if  criticism  can  be  obtained  from  other  architects  and  drafts- 
men; and  even  the  criticism  of  outsiders,  conscientiously  made,  will 
frequently  suggest  valuable  improvements  in  design.  Whenever  an 
intelligent  criticism  is  received  which  suggests  a  change,  it  should  be  a 
matter  of  principle  with  every  designer  to  make  a  sketch  embodying 
this  change,  in  order  to  see  whether  or  not  the  criticism  is  good. 


308 


ARCHITECTURAL  DRAWING  51 

DESIGN  OF  THE  DWELLING 

The  plan  of  the  modern  residence  began  to  be  worked  out  in  the 
18th  century.  There  is  a  treatise  on  architecture  published  at  that 
time  by  Blondel,  who  says  that  a  complete  reformation  had  been  made 
in  the  architecture  of  large  and  small  dwellings  from  the  point  of  view 
principally  of  the  arrangement  of  rooms;  great  efforts  had  been  made 
to  substitute  for  the  long,  rambling  succession  of  single  rooms,  an 
arrangement  of  rooms  double  in  depth,  with  separate  communications 
30  indispensable  for  conveniences  in  a  building. 

It  became  clear  that  in  a  dwelling  the  ease  of  circulation  was  very 
important,  and  that  the  approaches  to  and  exits  from  the  various  parts 
had  to  be  well  worked  out,  for  the  living  rooms  as  well  as  for  the  service 
rooms.  The  aim  of  architects  in  the  18th  century  was  for  independ- 
ence in  the  house,  and  it  is  to  this  that  we  owe  their  very  remarkable 
plans. 

The  treatise  on  architecture  by  Blondel  contains  many  interesting 
plans,  well  worthy  of  careful  study.  On  the  subject  of  Room,  in 
particular,  Blondel  gives  some  interesting  data: 

"It  seems",  he  says,  "that  within  about  fifty  years  French  architects 
have,  in  this  respect,  invented  a  new  art.  Before  this,  our  edifices  in  France, 
in  imitation  of  those  of  Italy,  had  an  exterior  decoration  which  made  a  very 
beautiful  architecture;  but  the  interiors  were  hardly  livable.  The  architects 
seem  to  have  tried  to  keep  out  the  light;  one  could  hardly  find  a  place  for  a 
bed  and  for  the  principal  articles  of  furniture.  The  fireplace  occupied  the 
largest  part  of»  the  rooms,  and  the  smallness  of  the  doors  gave  an  inadequate 
idea  of  the  places  to  which  they  gave  entrance  ....  The  arrangement  should 
be  the  first  object  of  the  architect;  decoration  depends  absolutely  on  a  well- 
studied  plan.  It  is  the  arrangement  which  establishes  the  length  or  width 
and  the  height  of  a  building." 

Number  of  Rooms.  The  great  objection  to  many  small  houses  is 
that  the  people  want  the  same  number  of  rooms  for  a  small  amount 
of  money  that  others  have  where  more  money  has  been  spent.  A  de- 
sire to  have  six  rooms  and  a  bath  often  results  in  making  all  the  rooms 
tiny  and  uncomfortable — more  like  boxes  than  living,  habitable 
spaces.  These  houses  are  not  necessarily  cozy  just  because  they  are 
small;  a  cozy  corner  in  a  big  room  has  much  more  of  the  cozy  feeling 
than  is  found  in  the  small  rooms  of  an  apartment.  There  should  be 
one  good-sized  room  in  every  house  or  apartment,  even  though  one 
room  has  to  be  sacrificed. 

Hallway.    The  hallway  should  be  neither  a  cramped,  narrow 


309 


52  ARCHITECTURAL  DRAWING 

, : 

space,  nor  arranged  in  such  a  way  that  it  will  be  a  draughty  part  of  the 
house.  It  should  be  borne  in  mind  that  if  open  from  first  floor  to  roof, 
the  heat  will  pass  up  the  hallway;  for  that  reason  it  should  be  suffi- 
ciently closed  off  from  the  other  rooms.  It  may  be  arranged  as  a  com- 
fortable gathering  place  for  the  family.  Indeed,  with  the  staircase 
kept  properly  to  one  side,  and  with  a  large  fireplace  the  hallway  may 
form  the  central  room  of  the  whole  house. 

Stairways.  Some  men  say  that  they  build  a  house  around  a 
bathroom,  because  they  consider  that  the  most  important  room  in  the 
house.  Next  in  importance  is  the  staircase.  The  front  staircase 
should  be  easy  and  large.  A  7  to  7J-inch  rise,  with  10  to  lOJ-inch 
width  of  tread,  is  customary,  though  a  6|-inch  rise  with  an  11-inch 
tread  is  easier  and  looks  much  better.  Staircases,  in  the  better  class 
of  house,  maybe  as  easy  as  6-inch  rise  by  14-inch  tread, or  even5|-inch 
rise  with  15-inch  tread.  In  back  staircases  a  7-inch  rise  with  9-inch 
tread  is  not  too  steep;  and  they  are  frequently  found  as  steep  as  8-inch 
tread.  If  space  allows,  the  rear  staircase  should  be  sufficiently  wide 
to  take  up  trunks  and  furniture — say  3|  to  4  feet,  with  wide  doors 
(3  feet  3  inches)  opening  into  it.  In  this  case  the  stairs  should  be 
strongly  supported.  Staircases  may  be  made  fire-resisting  by  stopping 
the  space  between  the  stringers  with  brick  and  by  covering  the  under- 
side or  soffit  with  metal  lath. 

Proportion  of  Stair  Riser  to  Tread.  A  good  formula  to  use  in 
laying  out  a  stairway  is  as  follows:  Let  R  =  the  rise  and  T  =  the 
tread,  then 

2  R  +  T  =  25. 

i.  e.,  twice  the  height  of  the  riser  plus  the  width  of  the  tread 
should  equal  25  inches. 

Living  Rooms.  The  living  room,  library,  parlor,  reception  room, 
should  all  be  "livable."  The  shut-up  "best  room"  is  a  thing  of  the 
past. 

Sitting  Room.  This  should  have  a  southerly  exposure,  so  that 
it  will  be  sunny  and  cheerful  all  the  time. 

The  best  arrangement  for  a  sitting  room  is  to  have  the  fireplace 
at  one  end,  the  windows  at  the  side,  and  the  entrance  at  the  further 
corner.  The  next  best  arrangement  is  to  have  the  fireplace  on  the 
same  side  of  the  room  as  the  entrance,  and  both  on  the  long  side  of 
the  room.  The  most  unsatisfactory  arrangement  is  to  have  the  door 


310 


ARCHITECTURAL  DRAWING  53 

on  the  wall  opposite  the  fireplace  or  close  by  the  fireplace,  where  there 
is  a  constant  draft. 

The  room  should  express  comfort  and  restfulness.  There  should 
be  no  feeling  of  over-decoration,  and  nothing  in  the  room  should  be 
so  striking  as  to  be  the  first  and  only  thing  to  be  seen.  The  great 
objection  to  so-called  "decoration",  is  that  each  decorator  or  designer 
thinks  only  of  his  own  work,  consequently  making  it  prominent;  and 
it  is  extremely  difficult  to  make  the  decorative  elements  harmonize. 

Dining  Room.  The  dining  room  should  be,  as  a  rule,  on  the 
side  of  the  house  toward  the  morning  sun.  It  should  be  cool  in  sum- 
mer and  warm  in  winter,  as  it  is  the  one  room  that  is  necessarily  occu- 
pied at  least  three  times  a  day.  A  westerly  outlook  is  generally  dis- 
agreeable on  account  of  the  low-lying  sun  for  the  evening  meal. 

Butler's  Pantry.  The  butler's  pantry  should  have  an  outside 
window,  and  doors  leading  into  the  dining  room  and  kitchen.  Some- 
times a  slide  is  put  in,  opening  into  a  small  china  closet  in  the  dining 
room.  The  butler's  pantry  should  be  quite  large.  The  story  is  told, 
of  an  architect  who  dined  with  his  client  several  times  while  he  was 
making  the  sketches;  and  each  time,  on  his  return  to  his  office,  he  en- 
larged the  butler's  pantry,  and  when  the  building  was  erected  it  was 
still  one  of  the  cramped  rooms  in  the  house. 

Kitchen.  The  kitchen  should  not  be  placed  in  too  close  proximity 
to  the  living  rooms,  and  should  be  on  the  northwest  corner  of  the  house. 
As  a  rule,  it  should  be  separated  from  the  living  parts  of  the  house  by 
at  least  two  doors.  This  is  done,  partly  on  account  of  the  odors  from 
the  cooking,  and  also  because  of  the  heat.  A  basement  kitchen  is 
objectionable  on  this  account.  The  kitchen  should  be  thoroughly 
ventilated,  the  windows  being  set  high — as  near  the  ceiling  as  possible 
— to  let  out  the  hot  air,  the  sill  being  located  above  the  backs  of  the 
tables  and  sinks.  A  hood  over  the  range  connecting  with  a  ventilating 
flue,  is  very  useful  for  ventilating.  This  ventilating  flue  will  be  either 
a  space  around  the  flue  from  the  kitchen  range,  which  will  be  con- 
stantly warm;  or  it  may  be  a  separate,  square  flue  next  the  smoke  flue 
in  the  chimney.  It  is  advisable  sometimes  to  put  deafening  felt  over 
the  kitchen,  so  as  to  prevent  the  passage  of  sound  and  heat  if  there  are 
sleeping  rooms  above. 

Refrigerator.  The  refrigerator  should  be  located  so  that  it  will 
be  easily  accessible  from  the  outside,  for  putting  in  ice;  and  it  should 


311 


54  ARCHITECTURAL  DRAWING 

be  near  the  kitchen  without  being  too  near  the  range.  The  refriger- 
ator drip  should  never  connect  directly  with  the  sewer  but  should  have 
a  separate  pipe  leading  to  a  dry  well  outside  the  building.  The  sim- 
plest and  cleanest  way  to  trap  this  is  as  follows:  Build  a  galvanized- 
iron  pan  large  enough  to  rest  on  the  floor  under  the  drip-pipe  of  the 
refrigerator;  and  carry  lead  pipe  from  this  down  into  the  cellar,  ending 
in  an  ordinary  milk  jar  which  stands  in  another  galvanized-iron  drip- 
pan  connecting  with  the  dry  well. 

Storeroom.  The  storeroom  may  be  made  rat-proof  by  plastering 
'on  metal  instead  of  wooden  lath,  and  by  plastering  the  ceiling  under- 
neath with  the  same  lathing,  taking  the  precaution  to  cover  all  open- 
ings. 

Bathroom.  The  bathroom  may  have  tile  floor  and  walls,  or,  for 
ordinary  work,  a  Georgia  pine  floor,  with  North  Carolina  pine  sheath- 
ing four  feet  above  the  floor.  A  sanitary  base — that  is,  one  rounded  to 
avoid  a  corner  between  the  wall  and  the  floor,  such  as  is  used  in  hospi- 
tals and  in  many  schoolhouses,  may  be  used.  Waterproof  paper 
should  be  put  in  between  the  upper  and  the  under  floor  in  the  bath- 
room, being  connected  by  lead  flashing  with  the  outside  of  the  building. 
This  will  prevent  damage  in  the  case  of  an  unexpected  overflow. 

Lavatory.  A  lavatory  on  the  first  floor  is  very  convenient.  This 
may  open  from  the  hall  or  be  connected  with  a  coat  closet.  It 
should  have  a  window. 

Closets.  The  closet  doors  should  open  in  such  a  way  that  the 
light  from  the  window  shines  into  the  closet. 

On  the  sleeping-room  floor,  a  housemaid's  closet  may  be  pro- 
vided— if  possible  with  an  outside  window.  This  closet  should  con- 
tain a  galvanized  -iron  or  enameled-iron  sink,  provided  with  a  flushing 
tank  as  well  as  with  hot  and  cold  water  faucets. 

The  linen  closet  should  preferably  have  no  drawers,  as  they 
furnish  hiding  places  for  mice.  Shelves  will  answer  every  purpose. 

Bicycle  and  dark  rooms,  play  room,  sewing  room,  billiard  room, 
music  room,  den,  conservatory,  etc.,  should  also  be  considered. 

Cellar.  The  cellar  should  be  well  drained,  if  possible,  with  a 
drain-pipe  separate  from  the  soil-pipe.  There  should  be  a  blind  drain 
under  the  wall,  and  the  wall  should  be  damp-proofed  in  damp  locations, 
by  the  use  of  layers  of  slate  stone  extending  through  the  wall  at  the 
surface  of  the  ground,  or  layers  of  well-tarred  paper  at  this  point. 


312 


ARCHITECTURAL  DRAWING  55 

Waterproof  cellars  are  made  by  putting  down  severd  layers  of  tarred 
paper  well  mopped  with  hot  tar  or  asphalt,  on  which  the  concrete  cel- 
lar floor  is  laid.  As  a  rule,  however,  it  is  best  to  have  the  cellar  con- 
nected either  with  the  soil-pipe  or  with  the  blind  drain,  and  to  have  all 
the  concreting  put  in  so  that  it  will  slope  to  one  point,  where  will  be 
placed  a  trap  with  grating. 

VARIOUS  STAGES  IN  BUILDING  A  HOUSE 

The  point  where  the  majority  of  people,  who  know  nothing  about 
architecture,  come  in  contact  with  the  architect,  is  when  they  make  up 
their  minds  to  build  houses  of  their  own. 

To  develop  this  point  more  clearly,  let  us  consider  the  situation 
that  arises  when  a  business  man  wishes  to  build. 

The  problem,  as  it  comes  to  most  men,  is  a  question  of  number  of 
rooms  needed,  amount  of  money  available,  and  proposed  location  of 
house. 

Let  us  say  that  Mr.  Smith,  after  lookng  at  various  lots  and  mak- 
ing as  many  inquiries  as  possible  through  friends  and  acquaintances, 
and  having  also  gone  to  some  real  estate  agent  who  deals  largely  in 
land  in  such  locations  as  he  considers  desirable,  has  obtained  an 
option  on,  or  possibly  has  purchased,  a.  lot,  the  price  being,  say, 
$800.  He  has  available  $2,000,  besides  the  money  he  has  set 
aside  for  furnishing  the  house  and  paying  the  architect's  fee. 
He  is  willing  to  give  a  mortgage  on  the  house  for,  say,  $3,000. 
Taking  $4,600  as  the  value  of  his  proposed  house  would  leave  him  a 
margin  of  $400.  Accordingly,  he  goes  to  an  architect  who,  he 
he  thinks,  will  plan  his  house  satisfactorily,  and  tells  him  the  circum- 
stances, the  requirements,  and  the  amount  of  money  available.  A 
visit  is  made  to  the  lot,  to  get  the  points  of  view,  etc.,  and  preliminary 
sketches  are  made. 

Sketches.  From  the  architect's  point  of  view,  the  sketch  period 
is  vital  in  respect  to  the  success  or  failure  of  the  house.  It  is  at  this 
time  that  he  becomes  acquainted  with  the  owner's  ideas  and  does  his 
best  to  interpret  them  properly  so  that  there  will  be  no  criticism  or 
feeling  of  disappointment  on  the  part  of  the  owner — in  other  words, 
so  that  the  house  will  harmonize  completely  with  its  owner's  habits 
and  tastes. 

Every  man  has  certain  hobbies  and  independent  wishes  in  regard 


313 


56  ARCHITECTURAL  DRAWING 

to  his  house;  these  the  architect  should  study  and  give  the  proper 
expression. 

In  regard  to  the  practical  use  of  the  house,  every  member  of  the 
family,  should  be  thought  of  and  consulted.  The  architect  should 
obtain  a  careful  outline  of  the  requirements  from  the  owner,  going 
over  the  number  of  rooms,  size  of  rooms,  comparing  them  with  rooms 
already  known  to  the  owner,  heights  of  stories,  location  and  ex- 
posure of  rooms,  for  the  view,  etc. 

After  sufficient  data  have  been  procured  to  make  a  complete 
schedule,  several  different  plans  of  the  proposed  house  may  be  sketched 
out  at  a  small  scale.  Co-ordinate  or  section  paper  is  very  useful  in 
sketching  out  different  schemes.  As  a  general  rule,  it  is  better  for 
the  architect  to  work  out  with  great  care  some  one  plan  which  he 
considers  the  most  satisfactory.  In  dealing  with  some  clients,  it  is 
sometimes  better  to  show  this  plan  only;  in  the  case  of  other  clients, 
it  is  better  to  show  them  all  the  studies  and  consult  with  them  about 
details  that  would  be  merely  wearisome  to  other  men,  The  sketches 
are  generally  laid  out  to  the  scale  of  one-eighth  inch  to  the  foot, 
though  small  "thumb-nail"  sketches  are  frequently  made  at  no  scale, 
or  sometimes  several  different  schemes  at  a  scale  of  one-sixteenth 
inch  to  the  foot.  Memoranda  should  be  kept  of  all  conversations 
with  the  client,  for  use  in  completing  plans  and  in  writing  specifi- 
cations. 

Working  Drawings.  After  the  sketches  are  approved,  the  work- 
ing drawings  can  be  started.  They  are  sometimes  called  "contract 
drawings,"  meaning  the  scale  drawings  accompanying  the  specifi- 
cations and  contract,  though  contract  drawings  really  include  the  de- 
tails, which  are  not  generally  made  at  the  time  the  contract  is  signed. 
The  character  of  these  drawings  has  changed  very  much,  even  in  the 
last  few  years,  an  astonishing  amount  of  detail  being  put  into  the  work- 
ing drawings,  while  the  architectural  drawings  of  the  English  and 
Italian  Renaissance  show  that  the  old  masters  must  have  studied  much 
of  their  detail  while  the  building  was  being  erected.  The  main  pur- 
pose of  the  working  drawings  is  to  give  complete  information  of  the 
building  to  be  erected,  as  far  as  size  and  form  can  be  expressed  in  pro- 
jection, quality  and  general  description  being  left  to  the  specification. 
It  is  of  considerable  importance  to  put  on  a  single  drawing  as  much  as 


314 


ARCHITECTURAL  DRAWING  57 

can  be  clearly  expressed,  since  workmen  generally  are  not  inclined  or 
able  to  gather  information  from  several  different  drawings. 

The  working  drawings  are  laid  out  at  quarter-inch  scale,*  i.e. 
one-quarter  inch  equals  one  foot,  with  details  at  a  scale  of  three- 
quarter  inch  to  the  foot,  accompanied  with  full-size  details.  This 
is  the  customary  scale  in  America.  In  England  and  also  in  some 
American  offices,  the  rule  is  to  make  the  working  drawings  at  a  scale 
of  one-eighth  inch  to  the  foot,  with  details  at  a  scale  of  one-half  inch  to 
the  foot. 

Plans  of  every  floor,  including  basement  and  roof,  all  the  ele- 
vations, and  such  sections  as  may  be  necessary  to  explain  the  con- 
struction, are  required.  In  the  sections,  the  vertical  dimensions 
should  be  figured  from  finished  floors. 

Besides  these  drawings,  a  block  or  ground  plan  is  frequently 
given,  generally  at  TV  or  -^j  inch  to  the  foot,  to  show  adjacent  walls, 
gardens,  etc.,  and  layout  of  grounds,  location  of  drains,  dry  wells, 
cesspool,  and  water  supply. 

Separate  plans  may  be  given  in  procuring  estimates  for  heating, 
ventilating,  plumbing,  and  gas  and  electric  lighting.  These  should 
be  made  subject  to  changes  that  may  be  proposed  by  the  successful 
bidder,  and,  with  these  changes,  should  be  presented  by  him  to  the 
architect  for  approval  before  finally  going  ahead  with  the  work.  This 
method  is  followed,  because  a  guarantee  is  expected  from  the  contrac- 
tor for  the  successful  operation  of  his  work;  and  each  contractor  in  the 
trades  mentioned  is  likely  to  have  good  methods  of  his  own,  which  he 
should  be  allowed  to  use.  Sometimes  all  of  these  drawings  may  be 
incorporated  in  the  general  drawings. 

Full-Size  Details.  Mouldings,  and  special  parts  of  exterior  and 
interior  fiinish,  such  as  base-courses,  water-table,  belts,  cornices,  cap- 
itals, special  arrangement  of  brickwork,  panels,  carving,  window- 
casings,  mantels,  stair-newels,  balusters,  etc.,  are  drawn  full  size; 
carefully  drawn  sections  are  made  full  size.  "Key  drawings"  at  small 
scale,  isometrics,  and  freehand  perspectives  are  invaluable  aids  if 
drawn  on  the  full  size  drawings.  For  cast  iron  and  terra-cotta,  allow- 
ance is  sometimes  made  for  shrinkage.  This  should  preferably  be 
left  to  the  pattern-maker. 

*NOTE:— There  is  a  great  difference  between  " quarter-inch  scale "  (i.e.,  5iinch  =  ) 
foot)  and  "quarter  scale, "  or  one-quarter  of  full  size  (i.e.,  3  inches  —  1  foot). 


58 


ARCHITECTURAL  DRAWING 


Besides  the  contract  drawings  and  subsequent  detail  drawings, 
other  drawings  are  frequently  called  for,  for  which  allowances  have 
been  made  in  the  contract,  as  for  furniture,  special  finish,  etc. 


•  .SHOWN  •  ON-ELE\^T10N6-£)Y- 

•W<JDE>  RRICK-^TONE-MET^-^HINGLK-  TC 


•  ON  -PLANS  -  &  -SECTIONS  -BY- 

NUCK-  RUBELE  -SIOtfE- WOOD  •  Tm-PR;  •  T  -C  •  •JVSETM,-  CONOR- 


DO 

an 


Fig.  26. 

Representation  of  Materials.  This  may  be  either  by  blacking 
in,  hatching,  etc.,  or  by  use  of  colors.  The  former  method  (Fig.  26) 
is  convenient  for  tracings  to  be  blue-printed,  as  it  saves  coloring  the 
prints. 

On  elevations,  materials  are  shown  as  follows: 

Wood white. 

Brick horizontal  lines. 

Stone dotted. 

Metal vertical  lines. 

Shingles sketched  to  scale. 

Terra-cotta,  etc abbreviations  marked  "T.C.",  etc. 

On  plans  and  sections: 

Brick diagonal  hatching,  ruled  lines. 

Rubble diagonal  hatching,  wavy  lines. 

Stone dotted. 

Wood  ..grain  indicated,  or  black  if  small-scale. 

Fireproofing hatched  margin,  dotted  surface. 

Terra-cotta divisions  to  suggest  material. 

Metal steel  sections  suggested. 

Concrete cross-hatched. 

Old  work white. 


316 


ARCHITECTURAL  DRAWING  59 

If  colors  are  preferred,  the  following  may  be  used: 

Brass  and  copper yellow. 

Brick light  red. 

Concrete Payne's  grey,  mottled. 

Glass new  blue. 

Glass  in  elevations a  graded  wash  of  India  ink,  indigo,  new 

blue  with  a  little  carmine. 

Old  work grey  or  black. 

Plaster Payne's  grey. 

Sections construction  not  determined,  pink  with 

red  border  line. 

Shadow  in  elevation India  ink  with  indigo  or  gallstone. 

Slate indigo. 

Steel  arid  iron Prussian  blue. 

Stone raw  umber  or  new  blue,  or  Payne's  grey. 

Terra-cotta burnt  umber. 

Tiling light  red  with  yellow. 

Wood yellow  ochre. 

Coloring  may  be  carried  further,  following  this  scheme,  always 
placing  guide-squares  in  one  corner  of  the  drawing  with  the  names 
of  the  materials  represented. 

Tracing  and  Blue-Printing.  Drawings  of  which  several  copies 
are  needed,  may  be  traced  on  transparent  paper  or  linen,  or  laid  out 
directly  on  these  materials.  Thin  bond  paper  is  often  used.  Prints 
may  be  taken  from  these,  either  blue  or  brown  prints,  giving  white 
lines  on  a  blue -or  brown  ground,  or  by  first  taking  negatives,  dark 
lines  on  a  white  ground. 

Notes  should  be  kept  for  the  specifications  while  drawings  are 
being  made. 

Letting  the  Contract:  When  the  working  drawings  and  specifica- 
tions are  finished,  owner  and  architect  decide  on  three  or  four  builders, 
any  one  of  whom  would  be  satisfactory,  who  are  asked  to  submit  es- 
timates. The  builders  are  allowed  time  enough  to  go  over  the  plans 
and  specifications  carefully  so  that  they  may  know  the  actual  value  of 
the  work;  and  bids  are  sent  in  to  the  architect's  office  to  be  opened 
on  a  certain  day,  when  the  owner  meets  the  successful  bidder  and  a 
contract  is  signed  for  building  the  house. 

In  France  there  is  generally  a  separate  contractor  for  each  kind 
of  work;  in  England  a  general  contractor  makes  up  his  bid  from  quan- 
tities given  him  by  a  quantity-surveyor ;  in  America  usually  the  sub- 
bids  are  given  to  a  general  contractor  who  takes  the  responsibility  for 
the  whole  work. 


317 


60  ARCHITECTURAL  DRAWING 

The  work  generally  starts  immediately  on  the  signing  of  the  con- 
tract, and  is  carried  on  continuously,  with  visits  from  the  owner  and 
from  the  architect,  payments  being  made  at  regular  intervals  or  on 
completion  of  certain  parts  of  the  work. 

During  the  progress  of  building,  the  owner  and  architect  select 
fixtures,  wall  papers,  etc. 

BUILDINGS   FOR   OFFICES 

The  plan  must  be  laid  out  so  as  to  obtain  the  largest  possible 
amount  of  space  available;  it  must  be  made  with  reference  to  the  con- 
structive requirements. 

Arrange  the  offices  so  as  to  take  advantage  of  surroundings  and 
light.  A  good  outlook  makes  an  office  more  desirable. 

Staircases,  elevators,  piers,  etc.,  should  be  arranged  so  that  the 
actual  renting  space  will  be  an  open  loft,  where  offices  and  windows 
can  be  divided  up  easily  to  suit  different  tenants,  and  can  be  easily 
changed. 

Make  the  street  entrance  and  corridors  so  that  the  offices  can  be 
easily  reached  and  doors  and  signs  easily  seen.  The  corridors  should 
not  be  less  than  3  feet  8  inches  wide;  as  a  general  rule,  they  should  be 
4  feet  to  8  feet  wide,  depending  upon  the  use,  the  number  of  offices 
and  the  size  of  the  building. 

Arrange  janitor's  and  superintendent's  offices,  telephone,  tele- 
graph, news  booths,  and  elevators  so  that  the  tenants  and  public  may 
be  quickly  accommodated. 

As  a  rule,  unless  there  are  two  frequently  used  entrances,  the 
elevators  should  be  placed  so  that  they  can  all  be  seen  by  a  person 
entering  the  building. 

A  car  5  feet  3  inches  by  6  feet,  with  a  door  on  the  long  side  and 
the  rest  of  the  side  removable,  is  convenient  for  handling  ordinary 
office  furniture.  One  elevator  in  the  building  should  be  as  large  as 
this.  Other  elevators  may  be  smaller. 

If  a  building  is  more  than  6  stories  high,  it  is  advisable  to  have 
one  or  more  elevators  express  to  the  6th  story.  The  doors  at  the 
lowest  floor,  where  the  largest  number  of  passengers  pass  in  and  out, 
and  where  there  is  generally  a  "starter"  to  see  that  the  cars  are  not 
overcrowded,  may  be  arranged  so  that  the  whole  side  of  the  car  will 
open,  allowing  all  the  passengers  in  the  elevator  to  pass  out  at  once. 


318 


ARCHITECTURAL  DRAWING  61 

Staircases  are  rarely  used  in  an  office  building.  A  width  of  3 
feet  3  inches  is  generally  sufficient;  and  sometimes  staircases  are  as 
small  as  2  feet  9  inches. 

If  there  is  a  light  court,  it  should  be  of  such  shape  and  location 
as  to  receive  as  much  sun  as  possible. 

There  should  be  toilet  rooms  on  every  floor;  generally  lavatories 
are  placed  in  the  separate  offices.  Radiators  are  put  in  front  of  each 
window,  transoms  over  every  door;  the  lighting  is  done  by  electricity 
with  drop-lights  and  receptacles  for  desk-lights. 

Write  the  specifications  so  that  the  building  may  be  economically 
constructed  and  will  be  a  paying  investment,  and  yet  not  so  cheaply 
built  that  it  will  be  unattractive  or  constantly  needing  repairs. 
PRACTICAL  EXAMPLE :    A  COLONIAL  HOUSE 

Conditions.  A  business  man,  having  purchased  a  lot  sufficiently 
large  to  give  him  space  on  all  sides,  wishes  to  build  a  colonial  house 
containing  nine  rooms. 

On  the  first  floor,  a  hall  is  to  be  in  the  center,  with  vestibule  and 
porch  in  front  and  doorway  at  the  rear,  so  that  the  air  may  circulate 
freely  in  the  summer  time.  The  hall  is  to  be  about  15  feet  wide.  At 
the  front,  on  the  left,  opening  off  this  hall,  the  owner  wishes  to  have  a 
large  room  about  14  feet  by  25  feet.  The  parlor  and  dining  room  are 
to  be  about  14  feet  by  12  feet  each.  On  the  right  of  the  hall,  next  to 
the  dining  room,  is  to  be  a  china  closet,  with  shelves  and  drawers, 
connecting  with  the  kitchen.  Beyond  the  kitchen  is  to  be  a  pantry, 
with  shelves,  cupboards,  and  cases  of  drawers.  The  back  entry  is 
to  have  a  place  for  a  refrigerator.  The  rear  door  of  the  front  hall  is 
to  open  on  an  ample  porch,  where  the  family  may  sit. 

The  second  floor  is  to  have  four  bedrooms  and  an  alcove  in  the 
main  part  of  the  house,  a  convenient  bathroom  and  bedroom  in  the 
rear,  and  suitable  linen  closets.  There  are  to  be  a  front  stairway  and 
a  compact  back  stairway.  The  attic  is  to  be  arranged  for  sleeping 
rooms. 

Sketches.  The  drawings  first  to  be  made  are  sketches  at  a  scale 
of  one-eighth  inch  to  the  foot,  drawn  on  Whatman's  paper,  with  the 
plans  inked  in  and  the  walls  shown  black.  The  elevations  may  be 
sketched  in  pencil,  merely  the  front  and  left-side  elevations  being 
shown. 


319 


62  ARCHITECTURAL  DRAWING 

Figs.  28  to  48  show  complete  working  plans  of  a  house  fulfilling 
these  conditions — a  three-storied  frame  residence,  such  as  is  frequently 
constructed  in  our  suburban  country  towns  and  smaller  cities.  The 
drawings  include  the  basement,  first  floor,  second  floor,  attic,  and  roof 
plans,  front  elevation,  and  one  side  elevation,  corresponding  framing 
plans,  and  details  of  different  parts  of  the  house.  Details  are  not 
always  included  in  the  contract  drawings,  but  are  made  as  the  work 
progresses.  The  rear  elevation  and  one  side  elevation  have  been 
omitted,  as  they  are  of  the  same  character  as  those  shown.  These 
plans  are  usually  drawn  at  the  scale  of  one-quarter  inch  to  the  foot; 
in  the  illustrations,  they  are  reduced. 

Plans.  On  commencing  the  quarter-scale,  the  principal  dimen- 
sions should  be  given  in  feet  and  inches,  not  in  fractions  of  an  inch, 
to  the  outside  line  of  the  sill.  The  main  contour  lines  should  be  mark- 
ed first,  and  then  the  wall  should  be  shown  on  the  first  floor,  six  inches 
thick.  The  sill  line  is  shown  on  Fig.  29,  one  inch  inside  of  the 
outer  wall  line,  and  is  merely  drawn  in  a  little  way  at  the  corner  of 
the  building.  In  drawing  out  the  plans  in  pencil,  the  lines  may  be  run 
straight  through,  taking  no  notice  of  openings.  The  lines  that  run 
over  can  easily  be  erased  later.  In  commencing  to  lay  out  the 
plan,  it  is  well  to  draw  the  center  lines  or  axes  first,  as  all  the  sym- 
metrical points  of  the  building  will  be  laid  out  from  these  axes.  Doors 
and  windows  either  center  on  an  axis,  or,  as  a  rule,  are  equidistant. 
The  bay  windows  and  chimneys  are  also  located  if  possible  on  the 
axis  lines.  The  door  and  window  openings  in  the  exterior  walls  are 
not  located  in  plan  until  the  elevations  are  laid  out.  When  this 
is  done,  the  sizes  of  window  designed  on  the  elevation  can  be 
transferred  to  the  plan.  As  mentioned  previously,  in  working  over 
the  plans,  notes  should  be  made  for  the  specifications  and  marked 
on  the  plans;  for  example — g.  p.  (glass  panel);  c.w.  (casement  win- 
dow); 1. 1.  (top  light  or  transom  light). 

Elevations.  In  laying  out  the  front  elevation,  the  center  line 
should  be  sketched  in  sharply,  in  pencil;  and  the  location  of  the  sill 
line  should  be  marked  at  the  right  and  left  of  this  center  line.  Then 
the  outside  finished  building  line  should  be  drawn  one  inch  outside 
the  sill  line,  this  being  the  outside  of  the  boarding. 

Useful  Memoranda.  In  laying  out  plans  at  one-quarter  of  an 
inch  to  the  foot,  the  beginner  is  often  puzzled  to  know  the  simplest  way 


320 


PLAA 


CL 


IWBLZ,  H17NQ  WINPOW.FEAME  W1LP1N& 

jide  uaLl  tine 


JV1NG  POOR 


FLUE/  WITH  FLUE  LINING 


KITCHEN  RANGE  FLUE 


KITCHEN  JINK 


BATH  ROOM 


LAUNPRY  TUEJ 


KITCHEN  DREWER 


o      a      a      -3     -*•    »3 

1  1  1       I       I       I       I 


Fig.  27. 


64  ARCHITECTURAL  DRAWING 

to  show  ordinary  constructive  forms;  and  in  tracing  plans,  which  a 
beginner  is  likely  to  be  called  upon  to  do,  if  the  original  is  not  very 
distinct,  he  will  find  it  useful  to  have  some  guide  for  convenient 
reference — as,  for  example,  that  shown  in  Fig.  27.  The  lines  in  the 
drawing  (a)  of  double-hung  windows  can  all  be  laid  to  scale,  though 
very  simply  expressed.  The  sill  is  shown,  both  outside  and  inside; 
and  also  the  sash  opening  and  glass  opening.  In  a  brick  building, 
the  brickwork  and  wood  furring  are  shown  (6).  The  distinction 
between  single-sash  (c)  and  double-hung  windows  (c?)  will  be  found 
convenient.  The  distinction  between  a  casement  window  (/)  and  a 
French  window  (e)  is  not  shown  in  plan,  as  the  difference  lies  prin- 
cipally in  the  fact  that  the  French  window  is  carried  to  the  floor.  The 
casement  window,  on  the  other  hand,  is,  in  general,  slightly  different 
in  having  a  mullion  in  the  center  for  each  sash  to  strike  on.  The 
French  window  is  shown  opening  out,  and  the  casement  window 
opening  in ;  but  these  could  be  made  to  open  either  way,  and  the 
casement  window  could  be  built  singly,  or  in  pairs,  or  in  series. 

In  placing  a  fireplace  (g]  on  the  outside  wall,  an  air  space 
should  always  be  left  to  prevent  unnecessary  cooling  of  the  flues.  The 
finished  brick  fireplace  should  be  distinguished  from  the  rough 
chimney;  and,  where  necessary,  flue  linings  should  be  shown.  A 
space  should  be  shown  separating  the  furring  from  the  brickwork  at 
least  one  inch,  as  prescribed  in  all  good  building  laws.  This  applies 
also  to  fireplaces  on  inside  walls.  The  hearth  is  shown,  either  the 
width  of  the  finished  fireplace,  or  sometimes  the  width  of  the  chimney- 
breast,  and  projecting  16,  18,  20  inches,  or  more  into  the  room. 

If  the  kitchen  range  is  to  be  brick-set,  a  similar  hearth  and  chim- 
ney-breast must  be  built  (i) ;  and  in  all  cases  it  is  advisable  to  have 
the  kitchen  duct  circular  (h),  set  in  a  rectangular  flue  which  it  keeps 
warm  and  which  is  available  for  ventilating  the  kitchen  through  a 
register  set  near  the  kitchen  ceiling.  The  kitchen  sink  (y)  should 
always  be  shown  with  drip-board.  A  kitchen  or  pantry  dresser  (&) 
should  be  shown  with  doors  opening  out — not  sliding,  unless  the 
space  is  very  limited.  Laundry  tubs  (/)  should  be  shown  as  indi- 
cated in  the  drawing.  A  bath-tub  is  indicated  as  shown  (TO),  and 
other  toilet  fixtures  are  indicated  similarly.  Single  (n)  and  double  (o) 
sliding  doors  (inside),  single  doors  (p)  and  double  swing  doors  (q) 
are  indicated  as  shown. 


322 


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Kg.  2& 


66  ARCHITECTURAL  DRAWING 

Basement  Plan.  Fig.  28  shows  the  basement  plan  of  the  resi- 
dence. Dimensions  are  all  given  to  the  outside  of  the  underpinning 
rubble  wall,  which  in  this  case  is  2  inches  outside  the  sill  line,  as  shown 
in  the  half-inch  scale  section.  The  footings  of  piazza  piers  at  the 
front  of  the  house  are  shown  dotted.  On  the  left  side  of  the  piazza 
is  lattice-work  covering  the  opening  into  the  cold-air  box  for  the  fur- 
nace. The  underpinning  is  of  stone  20  inches  thick;  and  the  piazza 
piers  are  12  inches  square,  built  of  bricks.  The  posts  holding  the 
girders  are  usually  made  of  iron,  three-quarter-inch  metal,  three  and 
one-half  inches  in  diameter.  Sometimes  these  posts  are  made  of  iron 
about  one-quarter  inch  thick,  filled  with  concrete,  the  cost  being  about 
the  same  as  that  of  brick  piers,  with  the  advantage  of  taking  up  less 
space  than  the  latter  in  the  cellar.  The  footings  of  the  chimneys  are 
not  shown;  the  ash-pit  under  the  chimney  has  an  iron  door  for  cleaning; 
and  the  coal-bins  are  made  with  slides,  and  located  conveniently  near 
the  furnace  and  not  too  far  from  the  kitchen  stairs,  with  the  partition 
so  placed  that  coal  can  be  thrown  from  the  window  into  either  bin. 
A  storeroom  is  built  with  shelves,  convenient  to  the  cellar  stairs.  A 
laundry,  with  set  tubs,  is  placed  in  the  best  lighted  part  of  the  cellar. 
A  very  desirable  item  frequently  overlooked  in  planning,  is  to  allow 
a  space  at  the  right-hand  end  of  the  laundry  tubs  for  the  clothes-basket. 
The  laundry  should  also  have  a  chimney  near  the  laundry  stove. 
There  are  also  a  basement  toilet-room  and  an  outside  hatchway  or 
rollway.  The  windows,  as  a  rule,  should  be  located  under  the  win- 
dows in  the  upper  story;  and  as  the  basement  plan  is  frequently  used 
on  the  work  separately  from  the  other  plans,  all  dimensions  should  be 
given,  so  that  no  reference  to  the  other  plans  will  be  necessary.  The 
window  openings  may  be  figured  to  centers,  but  they  are  sometimes 
figured  to  the  brick  or  stone  opening.  The  heater,  or  hot-air  furnace, 
is  placed  near  the  center  of  the  cellar.  The  cold-air  box  should  be 
arranged  so  as  to  take  air  from  the  side  least  affected  by  the  changing 
winds  (south  or  east).  In  the  case  here  illustrated,  it  has  been  lo- 
cated under  the  front  porch. 

First-Floor  Plan.  This,  the  most  important  of  all  the  working 
drawings  (Fig..  29),  shows  at  a  glance  the  main  proportions  and  dimen- 
sions of  the  whole  building,  besides  being  the  plan  of  what,  in  our 
American  manner  of  living,  is  the  principal  story  of  the  house. 

This  house  would  be  located  to  the  best  advantage  on  a  lot  facing 


3.?4 


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f  OR.  -  GEORGE.-A-.JDrtEJ- 


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f 


-PLAM-  OF-  FIT^TT-  F.LOOR.- 


Fig.  29. 


68  ARCHITECTURAL  DRAWING 

the  south  or  southeast.  This  would  put  the  kitchen  on  the  north, 
the  dining  room  on  the  east  (which  would  give  it  the  desirable  mornng 
sun),  and  the  parlor  on  the  south  and  west. 

The  front  porch  sheltering  the  front  doorway,  and  the  vestibule 
and  second  door,  form  a  protection  necessary  in  cold  northern  climates. 
The  hall  and  staircase  in  the  center  of  the  house  open  into  the  principal 
rooms.  The  living  room  on  the  left,  14  by  25  feet,  opens  by  French 
windows  on  the  piazza.  The  parlor  to  the  right  connects  by  sliding 
doors  with  the  dining  room.  The  living  room  and  dining  room  both 
have  open  fireplaces. 

From  the  rear  of  the  hall  a  door  opens  on  the  rear  porch,  and 
another  door  leads  to  the  passage  connecting  with  the  kitchen  and  the 
back  stairs.  Beyond  the  dining  room  and  the  kitchen  is  a  large  china 
closet,  having  glazed  shelving  and  also  a  counter  shelf  on  which  is 
dotted  the  location  for  a  china-closet  sink — which,  shown  in  this  way, 
would  not  be  considered- a  part  of  a  contract,  but  could  be  put  in  later. 
From  the  kitchen  a  staircase  leads  down  to  the  basement.  The 
kitchen  has  windows  on  both  sides,  giving  a  cross-draft  for  ventilation, 
which  is  very  agreeable  in  summer. 

In  the  rear  of  the  kitchen  is  a  pantry,  with  cupboards,  drawers, 
and  shelving.  The  large  back  entry  is  planned  for  a  refrigerator, 
which  has  an  ice  door  on  the  rear,  to  be  put  in  according  to  the  direc- 
tions furnished  by  the  refrigerator  maker. 

This  plan  should  be  laid  out  like  all  the  others,  from  a  center  axis, 
the  dimensions  being  figured  to  outside  of  studs  for  outside  w^alls,  and 
to  the  center  of  partitions  for  inside  walls,  and  to  the  centers  of  the 
window  openings. 

The  sill  line  is  f-  inch  inside  the  outside  line  of  the  walls  shown, 
while  the  inner  line  representing  the  plaster  surface  is  4f  or  4f  inches 
inside  the  sill  line.  The  dimensions  being  given  in  this  way,  it  is  a 
simple  matter  for  the  carpenter  on  the  building  to  run  his  measuring 
stick  between  the  outside  studding  and  against  the  outside  boarding, 
and  to  measure  across,  thus  locating  the  center  of  an  interior  partition 
or  the  center  of  one  of  the  windows.  The  location  of  gas  and  electric 
fixtures  is  shown  by  circles  on  the  plans. 

Second-Floor  Plan.  This  is  shown  in  Fig.  30.  Only  those 
dimensions  are  given  on  these  plans  which  are  not  indicated  on  the 
first  floor,  as  all  second-floor  partitions  are  supposed  to  rest  on  the 


326 


of 


Fig.  30. 


.-c&  -ROOF" 


Fig.  31, 


ARCHITECTURAL  DRAWING  71 

partitions  below,  if  possible.  The  roofs  of  the  porch  and  piazza  are 
shown.  These  may  be  covered  with  painted  canvas  or  with  tin,  and, 
if  they  are  to  be  much  used,  should  be  provided  also  with  a  floor  of 
wood  slats.  The  staircase  and  hall  are  shown  with  an  alcove  opening 
toward  the  front,  lighted  from  the  window  over  the  front  porch.  This 
alcove  is  separated  from  the  hall  by  an  arch  resting  on  small  col- 
umns, making  an  attractive  sitting  room.  There  are  doors  from  it 
into  the  adjacent  bedrooms.  Instead  of  the  arched  opening,  a  parti- 
tion may  be  put  in,  making  a  convenient  dressing  room.  The  bed- 
rooms are  11  by.  14  feet,  and  are  provided  with  closets. 

One  bedroom  has  a  fireplace,  and  the  two  bedrooms  on  the  left  of 
the  house  have  access  to  a  chimney.  There  is  a  small  linen  closet, 
provided  with  wide  shelves,  opening  out  of  the  hall.  Sometimes  the 
lower  part  of  this  closet  is  provided  with  drawers,  and  the  upper  part 
with  wide  lockers  having  drop  fronts.  The  opening  between  the  front 
hall  and  the  rear  hall  can  be  closed  with  a  door,  if  desired ;  or  the  door 
can  be  placed  opposite  the  partition  between  the  bathroom  and  the 
rear  bedroom.  The  bathroom  comes  directly  over  the  butler's  pantry, 
so  that  the  plumbing  is  all  very  compactly  arranged.  The  staircase 
to  the  attic  goes  up  over  the  back  stairs  that  lead  down  to  the  kitchen. 
The  rear  bedroom,  which  could  be  used  as  a  servants'  room,  is  pro- 
vided with  a  large  closet.  A  large  linen  closet,  with  shelves  and 
drawers,  opens  into  the  rear  hall. 

Attic  and  Roof  Plan.  The  attic,  as  shown  in  Fig.  31,  is  left  un- 
finished, with  the  exception  of  the  hall  at  the  top  of  the  back  stairs. 
The  location  of  the  tank  is  shown  near  a  chimney,  and  a  small  closet 
opens  off  the  hall.  The  roof  lines  are  shown  by  dot-and-dash  lines, 
which  are  frequently  drawn  in  red  on  the  working  drawings.  The 
frame  line  (i.  e.,  the  line  of  the  outside  of  the  sill  and  the  studding) — 
which  should  appear  on  all  the  working  drawings — is  shown  here  in 
full,  with  all  dimensions  noted  thereon. 

Front  and  Side  Elevations.  As  shown  in  Figs.  32  and  33,  the 
character  of  the  house  is  "Colonial,"  of  about  the  period  of  the  be- 
ginning of  the  nineteenth  century.  The  treatment  is  very  simple  and 
the  details  should  be  worked  out  delicately  to  obtain  the  Colonial 
character.  The  construction  is  comparatively  simple,  the  base  being 
of  brick,  sometimes  with  a  granite  course  at  grade,  and  sometimes  the 
whole  underpinning  being  of  split  granite.  The  wall  is  covered  with 


5  <:• 
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DETAIL- OF-  FT2QNT-  ELEVATION' 
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Fig. 


ARCHITECTURAL  DRAWING  75 

clapboards,  with  cypress  or  pine  finish.  The  roof  is  covered  with 
shingles.  The  location  of  the  floors  is  shown  by  a  dot-and-dash  line, 
which  in  working  drawings  is  frequently  put  in  in  red  ink.  The 
height  of  the  floors  is  9  feet  for  the  first  story,  8  feet  6  inches  for  the 
second  story,  with  an  attic  8  feet  in  the  clear.  The  cellar  is  to  be  8 
feet  high  in  the  clear. 

Detail  of  Front  Elevation.  Fig.  34,  showing  detail  of  the  front 
elevation,  is  reduced  from  a  drawing  made  at  a  scale  of  one-half  inch 
to  the  foot.  This  is  sufficiently  large  to  show  very  clearly  to  the  work- 
men the  relation  and  character  of  the  mouldings^  which  must,  of 
course,  be  worked  out  at  full  size.  The  cornice  and  the  front  entrance 
are  here  shown,  the  cornice  consisting  of  the  Roman  Doric  Order,  as 
treated  in  the  Colonial  period,  the  column  having  a  modified  Attic 
base,  and  a  shaft  with  the  customary  entasis.  This  entasis  or  swelling 
of  the  column  extends  one-third  of  its  height  without  diminution,  and 
tapers  slightly  until  it  comes  to  the  necking.  The  cap  is  very  simple, 
consisting  of  astragal,  necking,  fillet,  and  echinus,  all  turned;  a  square 
abacus,  consisting  of  a  fascia,  ogee,  and  fillet.  The  architrave  con- 
sists of  a  fascia,  small  bead,  another  fascia,  ogee,  and  fillet.  The 
frieze  in  this  type  of  building  is  usually  plain;  and  the  cornice,  which 
may  be  gi  eatly  varied,  consists,  in  this  case,  of  a  great  quarter-hollow, 
fillet,  quarter-round,  fascia  with  brackets,  and  a  corona  consisting  of 
fascia,  fillet,  and  cyma.  Between  the  columns  is  a  balustrade  with 
turned  balusters.  The  cornice  is  surmounted  by  another  balustrade 
with  posts,  top  and  bottom  rail,  and  turned  balusters.  The  doorway 
is  worked  out  in  old  Colonial  style,  with  paneling  peculiar  to  that  pe- 
riod. The  sash  may  be  made  either  according  to  the  design  shown, 
in  wood,  or  with  wide  leads,  which  may  be  painted  white.  Windows 
are  shown  with  outside  casing  and  back  band;  and  the  center  window 
has  a  small  cap  to  accent  the  central  portion  of  the  house.  The  water- 
table  is  formed  to  take  up  the  slight  projections  of  the  brick  underpin- 
ning beyond  the  outside  boarding.  It  consists  of  a  wide  fascia,  an 
astragal,  and  a  splayed  member.  The  corner  is  paneled,  as  shown. 
Sometimes  a  plain  corner-board  is  employed,  and  at  other  times  it  is 
made  larger  and  finished  with  a  Classic  capital  and  base.  The  cornice 
of  the  house  is  similar  to  the  cornice  of  the  porch,  the  frieze  and  archi- 
trave being  omitted,  as  is  quite  customary  on  Colonial  houses,  al- 
though there  are  examples  of  Colonial  houses  where  the  complete  en- 


333 


^  FIRJT-FLOOR,- 

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01    a.  3  46  <&T 

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rig.  35. 


ARCHITECTURAL  DRAWING  77 

tablature  is  used.  The  dormer  shows  a  peculiar  Colonial  treatment, 
using  a  small  Doric  Order  on  each  side  of  the  arched  window.  The 
muntins  of  the  sash  are  generally  worked  out  in  wood.  At  the  side  of 
the  roof  is  shown  a  side  elevation  of  the  dormer. 

First-Floor  Framing  Plan.  (Fig.  35.)  The  supports  shown  with 
a  dot-and-dash  line  would  usually  be  shown  in  red  ink  in  the  working 
drawings.  The  sill,  6  by  8  inches,  laid  flat,  is  shown  with  a  full  line 
running  all  around  the  building.  The  girders  and  the  posts  on  which 
they  rest  are  shown  in  a  full  line,  the  girders  being  8  inches  by  10  inches, 
and  the  posts  not  over  10  feet  apart.  The  piazza  girders  are  4  by  6, 
and  the  piazza  sills  are  4  by  6.  The  piazza  floor  joists  are  2  by  8  inches, 
20  inches  on  center.  The  dimensions  are  given  to  the  outside  of  the 
sill,  and  to  the  centers  of  the  partitions.  Where  the  partitions  come 
over  each  other  and  are  parallel  to  the  joists,  a  joist  is  set  1  inch  each 
side  of  the  studs  of  the  partition,  so  that  the  rough  floor  boards  may 
run  directly  through  and  leave  room  for  nailing  for  the  finished  floor 
each  side  of  the  partitions.  Trimmers  and  headers  are  double  the 
size  of  their  respective  floor  joists,  being  4  by  10  inches  in  this  case. 
All  joists  are  set  2  inches  clear  of  the  -fireplace  openings.  The  dis- 
tances are  given  to  the  centers  of  the  trimmers,  but  sometimes  dimen- 
sions are  given  for  the  clear  opening.  All  the  first-floor  joists  are  to  be 
2  by  10,  placed  16  inches  on  centers.  The  bridging  is  shown  dotted. 
This  is  made  of  1  by  2^-inch  stock  set  diagonally  between  the  joists. 

It  will  be  noticed  that  all  the  2-inch  joists  except  those  in  special 
locations — for  example,  under  a  partition,  as  above  mentioned — are 
shown  with  only  a  single  line,  all  other  timbers  being  shown  with  a 
double  line. 

Second-Floor  Framing  Plan.  The  second-floor  framing  plan 
(Fig.  36)  is  similar  to  the  first-floor,  the  girts,  4  by  6  inches,  being 
shown  instead  of  the  sill.  The  framing  of  the  roofs  of  the  porches  is 
shown,  and  notes  are  made  where  the  girts  are  flush  or  where  they  are 
sunk.  In  certain  cases  it  will  be  noticed  that  the  joists  are  carried 
through,  continuous.  It  often  happens  that  shorter  stock  might  have 
been  used  at  no  disadvantage  to  the  building.  The  joists  across  the 
building  should  be  nailed  together  wherever  possible,  so  as  to  make  a 
complete  tie  across  the  building. 

Attic  Framing  Plan.  On  this  drawing  (Fig.  37),  the  roof  plate 
is  shown,  and  also  the  location  of  the  hard  pine  ledger-board.  The 


335 


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Fig.  36. 


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Fig.   38. 


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ARCHITECTURAL  DRAWING  83 

partition  caps  of  the  story  below,  on  which  the  joists  rest,  are  shown. 
The  joists  in  the  attic  floor  are  2  by  8,  placed  16  inches  on  centers. 

Roof  Framing  Plan.  The  rafters  and  hips  are  shown  (Fig.  38) 
2  by  10 ;  the  valley  rafters,  3  by  9 ;  the  ridge,  2  by  8  inches.  The  rafters 
either  side  of  the  dormer  openings  are  4  by  7,  and  the  headers  for  the 
dormers  are  also  4  by  7  inches.  All  the  other  main  rafters  are  2  by  7 
inches,  placed  20  inches  on  centers;  and  the  dormer  rafters,  2  by  6, 
placed  20  inches  on  centers.  The  plate  line,  which  is  the  same  as  the 
first-floor  sill  line,  is  shown  as  a  full  line,  and  the  dimensions  are  given 
from  this  line. 

Framing  of  Front  Elevation.  The  framing  of  the  front  elevation 
of  the  house  above  the  foundation  is  shown  in  Fig.  39.  The  sill  is 
6  by  8,  resting  on  its  8-inch  face.  The  corner  posts  are  4  by  6,  framed 
into  the  sill;  and  a  4  by  6  flush  girt  is  shown  running  around  the  house. 
It  will  be  noticed  that  the  girt  stops  on  the  side  elevations  where  it  is 
marked  "4  by  6  sunk  girt"  (Fig.  40).  The  plate  is  formed  of  2  by  4 
joists,  which  break  joints  all  around  the  building.  The  frame  is 
braced  by  3  by  4  studs,  these  braces  being  as  long  as  possible,  which 
is  considered  better  construction  than  the  former  short-brace  system. 
In  cheaper  work,  2  by  4  braces,  halved  into  the  studding,  are  sometimes 
used  in  the  same  position.  The  filling-in  studs  are  2  by  4,  set  16 
inches  on  centers.  The  door  and  window  studs  are  3  by  4  inches,  set 
5  inches  clear  of  the  sash  opening. 

The  dimensions  are  given  to  the  centers  of  the  openings.  The 
heights  are  generally  given  to  the  finished  floor,  which  would  be  2 
inches  above  the  joist  line.  The  large  openings  are  trussed,  as  shown 
over  the  front  door  opening.  The  rafters  are  2  by  7,  set  20  inches  on 
centers,  the  hips  being  2  by  10,  and  the  valley  rafters  3  by  4.  The 
dormers  are  built  up  of  4  by  4  corner  posts-and  4  by  7  rafters  each  side 
of  the  opening.  The  ridge  is  2  by  8,  the  distance  to  the  top  of  ridge 
being  given  above  the  top  of  the  plate,  and  all  the  points  on  the  ridge 
rafters  and  ridge  may  be  located  on  the  sill  line  to  the  junction  of  the 
hip. 

Framing  of  Side  Elevation.  The  sill,  girts,  corner  posts,  stud- 
ding, plate,  and  rafters  (Fig.  40),  are  similar  to  those  already  described 
on  the  front  elevation.  The  framing  of  the  front  and  rear  porches  is 
also  shown,  with  the  dimensions  given  similarly.  The  attic  floor  joists 


341 


^y 


Fig.  41. 


•DETAIU-OF^  KITCHEN 'PANTRY-  ETC' 

•-EZJJDEflCIL-ATl 


-DETAIL  OF  PANTRIE5  -        ^ 

<?       9        6       3        °. 


Fig?  42-- 


Fig.  43. 


ARCHITECTURAL  DRAWING  87 

ace  supported  on  a  1  by  6  hard  pine  ledger-board,  which  is  cut  into 
the  studding  after  the  manner  of  balloon  framing. 

Main  Cornice  and  Dormer.  Fig.  41  is  reduced  from  a  drawing 
made  at  a  scale  of  three-fourths  inch  to  the  foot.  This  plate  should  be 
drawn  out  at  the  original  scale  mentioned;  and  a  full-size  pencil 
study  should  be  made  for  comparison. 

Kitchen,  Pantry,  and  China  Closet.  Fig.  42  shows  the  details 
of  kitchen,  pantry,  and  china  closet  reduced  from  a  drawing  made  at 
a  scale  of  one-half  inch  to  the  foot,  and  larger  details  at  a  scale  of  one 
and  one-half  inches  to  the  foot,  showing  shelving,  lockers,  and  doors. 
These  are  all  included  in  the  interior  finish,  and  should  follow  the 
specifications  as  to  sizes.  The  mouldings  should  all  be  full-size. 

Plumbing.  Fig.  43  shows  the  plumbing  details  for  this  building, 
These  details  are  carried  somewhat  further  than  is  usually  done  on 
plans,  but  no  further  than  advisable,  as  they  will  be  found  of  great 
assistance  in  carrying  out  and  superintending  the  work.  The  base- 
ment plan  shows  the  direction  of  the  sewer  connection,  which  is  a  hori- 
zontal pipe,  six  inches  in  diameter,  of  cast  iron,  located  either  on  the 
basement  ceiling  or  in  a  trench  on  the  cellar  floor.  In  this  case  it  must 
be  below  the  cellar-floor 
level  in  order  to  take  the 
laundry  tubs.  The  sec- 
tion shows  the  elevations 
of  the  pipe  carried  up 
through  the  house. 

There  will  be  a  trap  between  the  point  shown  and  the  sewer,  just  out- 
side the  wall  of  the  house.  The  leader  connections  are  4-inch  cast-iron 
pipe  inside  the  house  in  cellar  floor,  and  4-inch  terra-cotta  outside  the 
house,  to  take  the  water  from  the  gutters  and  conductors.  On  the 
first  connection  there  is  a  cleanout,  and  the  size  of  the  pipe  is  reduced 
from  6  inches  to  4  inches.  There  should  be  cleanouts  at  every  bend, 
and  also  at  about  every  fifteen  feet  of  horizontal  run.  There  should 
be  a  bell  trap  (Fig.  44)  to  take  the  cellar  surface  water,  also  branches 
for  general  fixtures  through  the  house,  as  shown.  The  vertical  pipe 
of  4-inch  cast  iron  would  rest  on  a  brick  pier  at  the  bottom  built  by  the 
mason. 

The  vent  pipes  from  the  trap  of  every  fixture  are  shown  in  dotted 
lines,  and  are  carried  up  beyond  the  highest  fixture,  where  they  may  be 


345 


Fig.  45. 


ARCHITECTURAL  DRAWING  89 

carried  back  into  the  soil  pipe  or  through  the  roof.  Branches  are 
taken  off  for  the  laundry  tubs,  china  closet,  sink,  lavatory,  tub,  and 
closet,  as  shown  in  the  section  and  on  the  first  and  second-floor  plumb- 
ing plans.  Sometimes  these  pipes  are  shown  in  blue  on  the  regular 
working  drawings;  but  there  is  an  advantage  in  having  them  on  a  sep- 
arate sheet,  as  has  been  done  in  this  detail.  The  vent  pipes  from  the 
traps  may  be  of  2-inch  cast  iron  or  of  2-inch  galvanized  wrought  iron. 
This  practice  varies  with  the  building  laws  in  different  localities. 

Detail  of  General  Window  Frames.  Fig.  45  shows  the  method  of 
laying  out  a  full-size  detail  of  a  window  box.  Such  a  drawing  is  one 
of  the  first  things  usually  given  to  a  draftsman  on  entering  an  archi- 
tect's office,  and  one  of  the  most  important  details  of  house  building 
to  become  acquainted  with.  The  drawing  shows  an  elevation  of  the 
lower  left-hand  corner  and  upper  left-hand  corner  of  the  window- 
frames  seen  from  the  outside.  The  lower  part  of  the  drawing  shows 
a  section  through  the  window  sill.  Taking  the  scale  of  6  inches  shown 
at  the  top  of  the  drawing,  it  would  be  found  that  the  window  sill  can 
be  made  from  2-inch  stock  finished  about  one  and  three-quarters 
inches  thick.  On  the  outside,  next  to  the  clapboards,  is  a  bed-mould- 
ing, and  the  slope  of  the  sill  forms  a  good  drip  to  throw  off  water.  The 
clapboards  are  housed  into  the  under  side  of  the  sill.  The  sill  rests  on 
a  3  by  4  or  4  by  4  horizontal  stud  under 'the  window  opening.  The 
inner  side  of  the  sill  is  cut  to  come  on  a  line  with  the  finished  plaster. 
The  plaster  stop  or  ground,  which  is  either  three-quarters  or  seven- 
eighths  inch  thick,  according  to  the  proposed  thickness  of  the  plaster, 
is  nailed  on  to  the  3  by  4  stud.  The  space  between  the  stud  and  the 
sill  is  frequently  filled  with  mortar.  At  the  left  of  the  drawing  is  shown 
a  section  through  the  side  of  the  window  box. 

The  outside  architrave  is  arranged  on  the  outside  of  the  boarding; 
and  a  back  band,  or  moulded  strip,  forms  a  finish  around  the  outside 
edge.  The  layers  of  paper  are  generally  run  on  the  boarding  under 
this  outside  architrave;  and  sometimes  zinc  flashing  is  used  in  very 
exposed  positions,  being  turned  up  against  the  outside  architrave. 
The  small  three-quarter  round  bead  shown  in  the  drawing  may  be 
omitted.  The  3  by  4  stud  is  set  so  as  to  leave  space  for  the  weights. 
It  is  a  good  rule  to  remember  that  the  distance  from  the  stud  to  the 
glass  opening  is  5  inches,  and  the  distance  from  the  sill  stud  the  same. 
The  distance  from  stud  at  window  head  to  glass  opening  is  4  inches. 


347 


00  ARCHITECTURAL  DRAWING 

The  pulley  stile  is  of  hard  pine;  and  the  parting  strip,  or  stop-bead 
between  the  two  sashes,  is  also  hard  pine.  Between  the  outside  archi- 
trave and  the  sash  is  put  in  a  small  screen  strip,  to  give  space  enough 
for  a  mosquito  screen  between  blinds  and  sash.  On  the  inside  of  the 
sash  is  a  stop-bead,  which  forms  a  part  of  the  interior  finish  and  covers 
the  rough  part  of  the  window  frame. 

The  upper  part  of  the  drawing  shows  a  section  through  the  win- 
dow head.  Sometimes  the  window  frame  head  is  made  of  thinner 
r,tock  than  that  shown.  This  completes  the  rough  window  box  as  it  is 
shipped  from  the  sash  factory  to  the  building.  At  the  building,  it  is 
nailed  in  place  against  the  rough  boarding;  and  later  the  sash,  which 
come  a  little  too  large  for  their  position,  are  fitted  into  place.  Sections 
horizontally  and  vertically  are  shown  through  the  sash,  including  meet- 
ing rail  and  muntins.  The  sash  at  the  sill  is  wider  than  elsewhere,  and 
underneath  is  usually  beveled  where  it  comes  against  the  finished  win- 
dow stool,  so  that  it  will  s"hut  tight.  There  is  also  usually  a  groove 
underneath,  to  intercept  any  water  that  may  blow  in.  The  meeting- 
rail  may  be  made  on  the  outside  sash,  to  drop  below  the  meeting-rail 
on  the  inside  sash,  forming  a  drip  which  will  prevent  the  water  washing 
down  on  the  glass  of  the  lower  sash. 

The  inside -finish  is  frequently  included  on  the  general  interior- 
finish  drawings  of  the  building,  and  is  not  always  sent  out  with  the 
window-frame  details.  The  window  stool  is  shown  on  the  drawing, 
with  a  small  space  underneath  where  it  comes  against  the  sash,  which 
forms  a  slight  interruption  for  any  water  that  may  pass  the  other 
groove.  The -apron  is  nailed  onto  the  sill  and  plaster  stop;  arid  a 
moulding  is  generally  run  under  the  window  stool  where  it  joins  the 
apron.  A  back  band  may  be  laid  around  the  inside  architrave,  against 
the  plastering;  or  the  inside  architrave  may  be  all  one  piece. 

Fig.  46shows  several,  variations  from  the  details  of  window  frames 
illustrated  in  Fig.  45;  and  these  can  be  still  further  varied  if  de- 
sired; or  a  combination  of  the  parts  may  be  made,  taking  certain  de- 
tails from  each  detail  given. 

The  frames,  unless  otherwise  shown,  are  usually  made  of  white 
pine.  Pulley  stiles  and  parting  beads  are  made  of  hard  pine. 

The  pulley  stiles  are  seven-eighths  inch  thick,  tongued  into  the 
outside  casings,  as  shown  in  the  section  through  the  side  of  the  window 
box.  The-parting  or  stop  beads  are  seven-eighths  by  one-half  inch  in 


348 


FRAMED 


Fig.  46. 


ARCHITECTURAL  DRAWING 


size;  sometimes  they  are  made  seven-eighths  by  three-eighths  inch, 
the  latter  giving  more  room  for  the  screen  strip. 

WTien  two-coat  work  is  specified  for  plaster,  the  plaster  stops  are 
generally  .three-quarters  inch  thick;  when  three-coat  work  is  used, 
generally  seven-eighths  inch  thick.  Very  often  the  window  box  is 
completed  by  ground-casing  either  three-quarters  or  seven-eighths 
inch  thick,  as  shown  in  Fig.  47;  in  this  case  no  ground  or  plaster  stops 
are  necessary  around  the  window  frames.  The  yoke  or  window-frame 

head  is  generally  made 
one  and  three-eighths  or 
one  and  one-half  inches 
thick.  The  sills  are  set 
to  pitch  one  and  one-half 
inches.  Care  must  be 
taken  to  see  that  the 
blinds  are  made  suffi- 
ciently long  to  fit,  as 
stock  frames  are  fre- 
quently made  with  a 
slope  of  not  over  one- 
half  inch  in  four  inches. 
The  outside  casing — or 
outside  architrave,  as  it 


-g^|   C^nA-   C-us 

I 

WeigKt 

v/tud 

bo* 

•H 

1 

3  x-l 

u 

Boa-ding                   Ol&jide.  CtxfinJ. 

Fig.  47. 


is  sometimes  called — may  be  set  either  flush  with  the  boarding  or  out- 
side the  boarding.  Wrhen  it  is  set  flush  with  the  boarding,  the  shingles 
may  be  carried  directly  across  the  joint,  and  finished  against  a  back 
band,  wrhich  comes  around  the  outside  of  the  window  frame.  The 
outside  casing  is  generally  seven-eighths  inch  thick,  and  five  inches  or 
sometimes  four  and  one-half  inches  in  width.  In  certain  cases  it  is 
made  of  one  and  one-eighth  inch  stock,  when  it  is  to  be  set  outside  t'ae 
boarding.  Sometimes,  instead  of  the  back-band  shown,  an  architrave 
made  from  one  and  one-eighth  to  one  and  three-quarter  inch  stock  is 
planted  on  the  outside  casing.  This  would  show  the  distinction  be- 
tween the  outside  casing  and  the  outside  architrave.  The  method  of 
using  a  ground  casing  and  outside  casing  flush  with  the  boarding  is 
inexpensive,  and  therefore  in  quite  common  use.  It  does  not  give  .suffi- 
cient room  for  a  screen  strip,  and  does  not  make  a  very  tight  casing 
where  the  pulley  stile  connects  with  the  sill. 


350 


•DETAIL  °r 
•FROMT-  -PORi 


•?>lffTES.-> 

yJCTlOrt  • 
•THRO'- 
•WATER 
•TABLE 


Fig.  48. 


-  OTVQN-F1RJT-  FLOOR, 

RELfl  DENCE.-  AT- 


Kg.  49. 


ARCH ITECTUR AT ,  DR AWING 


95 


The  sash  are  usually  made  one  and  three-quarters  inches  thick, 
for  house  construction;  sometimes,  in  less  expensive  work,  they  are 
made  one  and  one-half  inches  thick,  and,  for  "cheap  cellar  windows, 
one  and  one-quarter  inches  thick.  For  plate  glass  they  should  not  be 
less  than  one  and  three-quarter  inches  thick;  and  for  important  work, 
they  are  usually  two  and  one-quarter  inches  thick.  Frames  may  be 
veneered  on  the  inside,  to  match  the  other  interior  finish. 

Porch  and  Front  Entrance.    For  detail  of  these,  see  Fig.  48. 

Trim  on  First  Floor.     For  detail,  see  Fig.  49. 

Uniform  Titles  for  Drawings.  Fig.  50  shows  a  scheme  for  a  uni- 
form title  to  be  use  on  working  drawings.  .  This  may  be  made  as  a  rub- 
ber stamp,  the  name  of  the  drawing  being  lettered  in,  the  name  of  the 


•PRANW- 
•TRACED- 

•CHECKED- 
•APPROVED1 

•BASEMENT   -PLAN- 

•£CALE'  14*  INCH-  =-l-FOOr- 

•BUILDING  -NO- 
•^KELT-NO 
•PATS- 
•REVISED- 

•RESIDENCE-  FOR- 
-GEORGE-  AJOJSES-  &*• 
•BOSTON-  MASS- 

-n^AM-A-BOURNE-ARCHlTtCT 
•96-/\AiTOM-BLDG.-   -DCXTTO/A 

Fig.  50. 

building  being  set  up  in  rubber  type,  and  the  remainder  being  perma- 
nent. This  stamp  should  be  put  on  the  drawing  whenever  it  is  started, 
a  rubber  dating  stamp  being  used  to  give  the  date  of  beginning;  the 
building  number  and  sheet  number  should  be  recorded  in  the  drawing 
book.  The  architect  or  draftsman  who  lays  out  the  drawing  puts  his 
initials  under  the  word  "Drawn;"  the  draftsman  who  finishes  it  puts 
his  initials  under  the  word  "Traced;"  another  puts  his  initials  underthe 
word  "Checked,"  with  the  date;  and  finally  the  architect  adds  his  ini- 
tials and  date  after  the  drawings  are  ready  to  go  out  of  the  office.  On 
the  lower  right-hand  corner  is  a  space  where  date  of  any  revision  may 
be  entered.  This  stamp  may  be  made  four  and  seven-eighths  inches 
long,  so  that  it  can  be  used  on  a  3  by  5  index  card,  for  the  drawing 
record;  and  also  on  a  postal  card,  for  a  receipt  to  be  signed  by  the  con- 


853 


JTAIRCAJL  &  FIREPLAX  •  DETTMLJ  - 


FRONT  HALL 


SCISSORS    STAIRCASE 
FLG.G 


FLG.H 


Fig.  51. 


ARCHITECTURAL  DRAWING  97 

tractor  on  receiving  the  drawing,  or  for  any  other  memoranda  in  re- 
gard to  drawings. 

Staircase  and  Fireplace  Details.  One  of  the  best  ways  to  prepare 
for  the  designing  of  buildings  is  to  study  and  make  memoranda  of 
interesting  plans  and  details.  This  is  especially  true  in  relation  to 
house  building,  as  well  as  to  the  planning  of  large  buildings.  Some 
of  the  most  interesting  sketch  books  are  those  filled  with  small-plan 
details  which  can  be  referred  to  and  used  in  the  same  manner  as  win- 
dow or  door  details  could  be  used  in  designing  elevations.  Fig.  51 
shows  several  such  small  drawings  on  one  sheet. 

Fig.  A  shows  the  usual  way  of  working  out  a  back  staircase  entirely 
enclosed  between  partitions,  one  staircase  going  down  under  the  other. 
This  is  very  compact,  and  may  be  worked  out  in  wood  or  iron  and  be- 
tween plaster  or  brick  walls.  The  space  may  be  larger  or  smaller 
than  that  shown.  The  width  of  stairs  from  the  finished  wall  to  center 
of  rail  should  never  be  less  than  2  feet  2  inches  for  the  smallest  stair- 
case, and  usually  2  feet  8  inches  is  employed  for  a  back  staircase. 
Sometimes  the  newel  posts  are  brought  together  as  one,  making  what 
is  practically  a  circular  staircase. 

Fig.  B  shows  a  combination  staircase;  that  is  to  say,  the  front 
staircase  goes  up  to  a  landing,  and  then  continues  in  any  direction  to 
the  second  floor.  From  this  landing  a  door  opens,  leading  down  to 
the  service  part  of  the  house,  giving  many  of  the.  ad  vantages  of  a  back 
staircase,  with  loss  of  only  a  small  amount  of  space. 

Fig.  C  gives  an  interesting  combination  of  staircase  and  fireplace. 
The  fireplace  is  one  step  below  the  general  floor  level;  and  the  ceiling 
is  kept  lower  than  the  general  ceiling  of  the  room,  with  a  small  stair- 
case leading  up,  to  a  mezzanine  story,  above  the  fireplace,  which  may 
be  arranged  to  look  down  on  the  main  floor  of  the  room  or  may  form  a 
sort  of  gallery. 

Fig.  D  shows  a  staircase  going  up  to  a  landing  which  is  carried 
out  into  a  room  as  a  balcony  indicated  by  dotted  lines.  At  this 
level  a  little  bay  window  is  carried  out  over  an  outside  doorway  below. 
As  there  are  only  eleven  risers  shown,  it  would  be  necessary  in  this  case 
to  have  the  landing  made  of  plank  laid  flat,  to  get  head  room  for  the 
seat. 

Fig.  E  shows  a  compact  arrangement  of  hall,  coat  closet,  and  out- 


355 


THREL-CWR.TE.R~3C'ALE, -DETAIL -Of  -CUT  •  ^TONE-WORK. 
CENTRAL  PAVILION  -  'EASTERN-  PARKWAY-  aEVATlON-       ^•"•^ 

•  INDTITLJTL-      nsaK-ja«>. 


Fig.  54 


•  T!  WE  QfR.TER.tNGH  5GM.F.  K'i  AH  .•  FED  ;  I'  PJ  RATION  • 

•  THE'KNICKERBOOCER  •  TRVST-GOAPANY- 

•  OC8   3W5T  8  5W3VB; 


Fig.  55. 


102  ARCHITECTURAL  DRAWING 

side  vestibule,  with  an  interesting  arrangement  of  the  ingle-nook  and 
fireplace,  and  seats  each  side. 

Fig.  F  shows  another  arrangement  of  circular  staircase  differing 
from  that  shown  in  Fig.  A,  as  it  contains  space  for  a  service  elevator 
or  lift. 

Fig.  G  shows  a  scissors  staircase,  which  is  sometimes  used  in 
double  houses  occupied  by  different  families  on  each  floor.  This  con- 
struction makes  a  saving  of  space,  as  the  staircases  may  be  placed  un- 
der each  other,  while  each  family  is  able  to  go  from  floor  to  floor  by  its 
own  private  staircase.  This  arrangement  is  also  sometimes  used  in 
schoolhouses,  where  there  is  height  enough  to  have  mezzanine  toilet 
rooms  at  the  landings,  with  separate  stairways  for  boys  and  girls  in  the 
same  given  space  on  plan. 

Fig.  H  shows  an  arrangement  for  the  fireplace  between  dining 
room  and  living  room  where  space  is  desired  for  closets  or  serving  room 
between.  On  one  side  is  built  the  ordinary  fireplace  with  seats  on 
each  side,  the  tiling  being  carried  out  to  the  end  of  the  seats;  on  the 
other  side  the  hearth  is  carried  out  with  brick  floor,  and  the  hood  is 
carried  out  over  this  so  that  a  basket  of  coals  can  be  set  directly  on  the 
brick  floor.  Sornetimes  the  fire-basket  is  placed  below  the  floor  level, 
so  that  the  surface  comes  about  on  a  level  with  the  floor. 

Figs.  52  to  55  show  working  drawings  of  prominent  architectural 
firms.  It  should  be  noted  how  carefully  and  clearly  everything  is 
drawn — from  the  lettering  to  the  sculptured  parts. 

The  preliminaries  to  starting  a  drawing,  are : 

Stretch  half  a  sheet  of  Whatman's  Imperial  cold-pressed  paper, 
22  by  15  inches  in  size.  While  this  is  drying,  sketch  out  rapidly  with 
pencil,  T-square,  and  triangles,  on  a  piece  of  manila  detail  paper,  the 
main  lines  of  the  proposed  drawing.  This  will  show  the  proper  pla- 
cing of  the  drawing,  and  save  much  erasing  on  the  final  sheet. 

Sometimes  tracing  paper  may  be  mounted  over  the  Whatman's 
paper,  and  a  place  cut  for  making  the  final  drawing;  or  the  study  may 
be  made  directly  on  the  tracing  paper  over  the  final  sheet,  and  then 
cut  out  and  redrawn  or  transferred. 

The  paper  required  for  the  first  drawing  is,  therefore: 

One  sheet  Whatman's  "Imperial"  drawing  paper. 

One  yard  manila  detail  paper. 

Several  yards  of  Rowney's  English  tracing  paper. 


REVIEW    QUESTIONS 

ON     THE      SUBJECT      OF 

ARCHITECTURAL     DRAWING. 

PART    II. 


1.  What  is  the  meaning  of  composition  in  architectural  design? 
What  are  some  of  the  first  principles  of  good  composition? 

2.  WThy  should  a  draftsman  study  to  cultivate  his  artistic  taste? 

3.  What  two  meanings  has  the  term  "scale"?    When  is  a 
drawing  large  in  scale?    What  affects  the  scale  of  a  building?    IJow 
can  a  drawing  be  tested  for  scale?    Why  should  ornament  at  the  top 
of  a  building  be  of  a  different  size  than  at  the  bottom? 

4.  What  should  we  do  to  the  small  scale  drawings  when  any 
change  is  made  in  the  ornament?.    What  is  likely  to-  be  the  result  of 
overlooking  this  precaution? 

5.  In  planning  a  dwelling,  what  is  a  good  principle  for  number 
and  size  of  rooms? 

6.  What  should  we  avoid  in  the  hall  of  houses  for  cold  climates? 

7.  Give  a  rule  for  proportioning  stair  riser  to  tread. 

8.  Suggest  a  good  way  to  avoid  draughts  in  the  sitting  room. 

9.  Toward  what  point  of  the  compass  should  be  the  exposure 
of  the  dining  room,  and  why?    . 

10.  Describe  some  of  the  features  of  a  butler's  pantry. 

11.  What  should  be  the  exposure  of  the  kitchen? 

12.  Where  should  the  refrigerator  be  placed? 

13.  Describe  several  other  rooms  that  must  be  considered  in 
house-planning. 

14.  Make  a  set  of  one-eighth  inch  scale  sketches  of  the  house 
shown  in  Figs.  29,  30,  32  and  33,  as  described  on  page  61,  plans  to 
be  in  ink,  elevations  to  be  in  pencil. 

15.  What  is  meant  by  the  term  "working  drawings"? 

16.  What  are  the  customary  scales  used  in  America? 


361 


ARCHITECTURAL  DRAWING 


17.  Draw  from  memory  guide  squares  showing  indications  of 
material  as  shown  on  plans,  sections  and  elevations. 

18.  Describe  the  usual  methods  of  letting  a  contract. 

19.  State  briefly  the  general  requirements  for  an  office  building. 

20.  At  a  scale  of  \  inch  =  1  foot,  lay  out  in  pencil  on  brown  paper, 
the  plans  shown  on  Figs.  28/29,  30,  31,  32,  33,  and,  at  a  scale  of  £ 
inch  =  1  foot,  Fig.  34. 

21.  Trace  the  first  and  second  floor  plans  which  you  have  drawn 
on  tracing  paper  in  ink,  and  also  the  front  elevation. 

22.  Put  thin  bond  or  tracing  paper  over  the  drawings  you  have 
made  and  lay  out  in  pencil  the  framing  plans  as  shown  in  Figs.  35,  36, 
37,  38,  39,  and  40. 

23.  Ink  in  the  framing  plans  of  the  first  floor  and  of  the  front 
elevation. 

24.  L3!y  out  in  pencil,  at  a  scale  of  1|  inches  =  1  foot,  the  details 
shown  on  Fig.  41,  comparing  the  mouldings  with  larger  size  draw- 
ings of  window  frames,  etc.,  given  elsewhere. 

25.  Lay  out  in  pencil  from  memory  on  detail  paper  a  full  size 
detail  of  the  window  frame  shown  in  Fig.  45.     Then  without  chang- 
ing this  first  drawing,  take  a  sheet  of  tracing  paper,  put  it  over  your 
drawing,  and  draw  out  the  corrections  (if  you  have  made  any  mis- 
takes), or  make  a  complete  corrected  copy. 

26.  Lay  out  a  1^  inch  scale  detail  of  the  porch  cornice  as  shown 
in  Fig.  48  in  pencil  on  detail  paper.